460287576 has 192 divisors, whose sum is σ = 1502200800. Its totient is φ = 130201344.

The previous prime is 460287551. The next prime is 460287613. The reversal of 460287576 is 675782064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1661550 + ... + 1661826.

Almost surely, 2^460287576 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 460287576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751100400).

460287576 is an abundant number, since it is smaller than the sum of its proper divisors (1041913224).

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

460287576 is a wasteful number, since it uses less digits than its factorization.

460287576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 460287576 is about 21454.3136921226. The cubic root of 460287576 is about 772.1050936599.

The spelling of 460287576 in words is "four hundred sixty million, two hundred eighty-seven thousand, five hundred seventy-six".