460564320 has 96 divisors (see below), whose sum is σ = 1467214560. Its totient is φ = 121425920.

The previous prime is 460564319. The next prime is 460564333. The reversal of 460564320 is 23465064.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 37330 + ... + 48110.

It is an arithmetic number, because the mean of its divisors is an integer number (15283485).

Almost surely, 2^460564320 is an apocalyptic number.

460564320 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 460564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733607280).

460564320 is an abundant number, since it is smaller than the sum of its proper divisors (1006650240).

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

460564320 is a wasteful number, since it uses less digits than its factorization.

460564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10888 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 460564320 is about 21460.7623350150. The cubic root of 460564320 is about 772.2598032038.

The spelling of 460564320 in words is "four hundred sixty million, five hundred sixty-four thousand, three hundred twenty".