460324704 has 192 divisors, whose sum is σ = 1501839360. Its totient is φ = 120476160.

The previous prime is 460324693. The next prime is 460324729. The reversal of 460324704 is 407423064.

It is a super-2 number, since 2×460324704² = 423797666225375232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395227 + ... + 396389.

It is an arithmetic number, because the mean of its divisors is an integer number (7822080).

Almost surely, 2^460324704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460324704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750919680).

460324704 is an abundant number, since it is smaller than the sum of its proper divisors (1041514656).

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

460324704 is a wasteful number, since it uses less digits than its factorization.

460324704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 460324704 is about 21455.1789552080. The cubic root of 460324704 is about 772.1258531073.

Adding to 460324704 its reverse (407423064), we get a palindrome (867747768).

The spelling of 460324704 in words is "four hundred sixty million, three hundred twenty-four thousand, seven hundred four".