460753920 has 440 divisors, whose sum is σ = 1819013328. Its totient is φ = 110592000.

The previous prime is 460753829. The next prime is 460753949. The reversal of 460753920 is 29357064.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561870 + ... + 4561970.

Almost surely, 2^460753920 is an apocalyptic number.

460753920 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 460753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909506664).

460753920 is an abundant number, since it is smaller than the sum of its proper divisors (1358259408).

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

460753920 is a wasteful number, since it uses less digits than its factorization.

460753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 460753920 is about 21465.1792445346. The cubic root of 460753920 is about 772.3657604427.

The spelling of 460753920 in words is "four hundred sixty million, seven hundred fifty-three thousand, nine hundred twenty".