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497863440 = 243251793863
BaseRepresentation
bin11101101011001…
…100101100010000
31021200211002020200
4131223030230100
52004423112230
6121222535200
715223524624
oct3553145420
91250732220
10497863440
11236038198
1211a897500
137c1b7769
144a19b184
152da95160
hex1daccb10

497863440 has 120 divisors (see below), whose sum is σ = 1681767360. Its totient is φ = 131987712.

The previous prime is 497863409. The next prime is 497863447. The reversal of 497863440 is 44368794.

497863440 is a `hidden beast` number, since 4 + 9 + 7 + 8 + 634 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (497863447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126949 + ... + 130811.

It is an arithmetic number, because the mean of its divisors is an integer number (14014728).

Almost surely, 2497863440 is an apocalyptic number.

497863440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497863440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840883680).

497863440 is an abundant number, since it is smaller than the sum of its proper divisors (1183903920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

497863440 is a wasteful number, since it uses less digits than its factorization.

497863440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 497863440 is about 22312.8536946756. The cubic root of 497863440 is about 792.5683859957.

The spelling of 497863440 in words is "four hundred ninety-seven million, eight hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 179 180 240 358 360 537 716 720 895 1074 1432 1611 1790 2148 2685 2864 3222 3580 3863 4296 5370 6444 7160 7726 8055 8592 10740 11589 12888 14320 15452 16110 19315 21480 23178 25776 30904 32220 34767 38630 42960 46356 57945 61808 64440 69534 77260 92712 115890 128880 139068 154520 173835 185424 231780 278136 309040 347670 463560 556272 691477 695340 927120 1382954 1390680 2074431 2765908 2781360 3457385 4148862 5531816 6223293 6914770 8297724 10372155 11063632 12446586 13829540 16595448 20744310 24893172 27659080 31116465 33190896 41488620 49786344 55318160 62232930 82977240 99572688 124465860 165954480 248931720 497863440