460724920 has 64 divisors (see below), whose sum is σ = 1095444000. Its totient is φ = 173910528.

The previous prime is 460724917. The next prime is 460724969. The reversal of 460724920 is 29427064.

It is a congruent number.

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, 221646 + ... + 223714.

Almost surely, 2^460724920 is an apocalyptic number.

460724920 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 460724920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547722000).

460724920 is an abundant number, since it is smaller than the sum of its proper divisors (634719080).

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

460724920 is a wasteful number, since it uses less digits than its factorization.

460724920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 460724920 is about 21464.5037212604. The cubic root of 460724920 is about 772.3495557862.

The spelling of 460724920 in words is "four hundred sixty million, seven hundred twenty-four thousand, nine hundred twenty".