460580736 has 256 divisors, whose sum is σ = 1570245120. Its totient is φ = 116121600.

The previous prime is 460580719. The next prime is 460580749. The reversal of 460580736 is 637085064.

It is a super-2 number, since 2×460580736² = 424269228748603392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460580694 and 460580703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093806 + ... + 1094226.

It is an arithmetic number, because the mean of its divisors is an integer number (6133770).

Almost surely, 2^460580736 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 460580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785122560).

460580736 is an abundant number, since it is smaller than the sum of its proper divisors (1109664384).

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

460580736 is a wasteful number, since it uses less digits than its factorization.

460580736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 460580736 is about 21461.1447970513. The cubic root of 460580736 is about 772.2689783727.

The spelling of 460580736 in words is "four hundred sixty million, five hundred eighty thousand, seven hundred thirty-six".