460724264 has 96 divisors (see below), whose sum is σ = 1180720800. Its totient is φ = 165674880.

The previous prime is 460724261. The next prime is 460724269. The reversal of 460724264 is 462427064.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (460724261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51947 + ... + 60165.

It is an arithmetic number, because the mean of its divisors is an integer number (12299175).

Almost surely, 2^460724264 is an apocalyptic number.

460724264 is a gapful number since it is divisible by the number (44) 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 460724264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590360400).

460724264 is an abundant number, since it is smaller than the sum of its proper divisors (719996536).

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

460724264 is a wasteful number, since it uses less digits than its factorization.

460724264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 460724264 is about 21464.4884402121. The cubic root of 460724264 is about 772.3491892178.

The spelling of 460724264 in words is "four hundred sixty million, seven hundred twenty-four thousand, two hundred sixty-four".