460513504 has 96 divisors (see below), whose sum is σ = 1032847200. Its totient is φ = 200202240.

The previous prime is 460513489. The next prime is 460513519. The reversal of 460513504 is 405315064.

It is an interprime number because it is at equal distance from previous prime (460513489) and next prime (460513519).

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, 2010862 + ... + 2011090.

It is an arithmetic number, because the mean of its divisors is an integer number (10758825).

Almost surely, 2^460513504 is an apocalyptic number.

460513504 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 460513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516423600).

460513504 is an abundant number, since it is smaller than the sum of its proper divisors (572333696).

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

460513504 is a wasteful number, since it uses less digits than its factorization.

460513504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 460513504 is about 21459.5783742365. The cubic root of 460513504 is about 772.2313999342.

Adding to 460513504 its reverse (405315064), we get a palindrome (865828568).

The spelling of 460513504 in words is "four hundred sixty million, five hundred thirteen thousand, five hundred four".