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490855440 = 24357925889
BaseRepresentation
bin11101010000011…
…101110000010000
31021012122001002010
4131100131300100
52001124333230
6120412422520
715110126265
oct3520356020
91235561063
10490855440
11232090a59
12118477a40
137a902a0a
144929526c
152d15d9b0
hex1d41dc10

490855440 has 80 divisors (see below), whose sum is σ = 1540972800. Its totient is φ = 129232896.

The previous prime is 490855307. The next prime is 490855483. The reversal of 490855440 is 44558094.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6016 + ... + 31904.

It is an arithmetic number, because the mean of its divisors is an integer number (19262160).

Almost surely, 2490855440 is an apocalyptic number.

490855440 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 490855440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770486400).

490855440 is an abundant number, since it is smaller than the sum of its proper divisors (1050117360).

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

490855440 is a wasteful number, since it uses less digits than its factorization.

490855440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25984 (or 25978 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 490855440 is about 22155.2576152930. The cubic root of 490855440 is about 788.8320293462.

The spelling of 490855440 in words is "four hundred ninety million, eight hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 25889 51778 77667 103556 129445 155334 207112 258890 310668 388335 414224 517780 621336 776670 1035560 1242672 1553340 2045231 2071120 3106680 4090462 6135693 6213360 8180924 10226155 12271386 16361848 20452310 24542772 30678465 32723696 40904620 49085544 61356930 81809240 98171088 122713860 163618480 245427720 490855440