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464683860 = 223255367727
BaseRepresentation
bin11011101100101…
…000001101010100
31012101101101102100
4123230220031110
51422424340420
6114035442100
714341514304
oct3354501524
91171341370
10464683860
11219335953
1210b756330
137536b484
1445a01604
152abde190
hex1bb28354

464683860 has 144 divisors (see below), whose sum is σ = 1459575936. Its totient is φ = 119598336.

The previous prime is 464683847. The next prime is 464683867. The reversal of 464683860 is 68386464.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464683867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638817 + ... + 639543.

It is an arithmetic number, because the mean of its divisors is an integer number (10135944).

Almost surely, 2464683860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464683860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729787968).

464683860 is an abundant number, since it is smaller than the sum of its proper divisors (994892076).

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

464683860 is a wasteful number, since it uses less digits than its factorization.

464683860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 464683860 is about 21556.5270857808. The cubic root of 464683860 is about 774.5554773038. Note that the first 3 decimals are identical.

The spelling of 464683860 in words is "four hundred sixty-four million, six hundred eighty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 67 90 106 134 159 180 201 212 265 268 318 335 402 477 530 603 636 670 727 795 804 954 1005 1060 1206 1340 1454 1590 1908 2010 2181 2385 2412 2908 3015 3180 3551 3635 4020 4362 4770 6030 6543 7102 7270 8724 9540 10653 10905 12060 13086 14204 14540 17755 21306 21810 26172 31959 32715 35510 38531 42612 43620 48709 53265 63918 65430 71020 77062 97418 106530 115593 127836 130860 146127 154124 159795 192655 194836 213060 231186 243545 292254 319590 346779 385310 438381 462372 487090 577965 584508 639180 693558 730635 770620 876762 974180 1155930 1387116 1461270 1733895 1753524 2191905 2311860 2581577 2922540 3467790 4383810 5163154 6935580 7744731 8767620 10326308 12907885 15489462 23234193 25815770 30978924 38723655 46468386 51631540 77447310 92936772 116170965 154894620 232341930 464683860