460404064 has 96 divisors (see below), whose sum is σ = 1034643456. Its totient is φ = 200386560.

The previous prime is 460404059. The next prime is 460404073.

460404064 is nontrivially palindromic in base 10.

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, 387279 + ... + 388465.

It is an arithmetic number, because the mean of its divisors is an integer number (10777536).

Almost surely, 2^460404064 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 460404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517321728).

460404064 is an abundant number, since it is smaller than the sum of its proper divisors (574239392).

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

460404064 is a wasteful number, since it uses less digits than its factorization.

460404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 460404064 is about 21457.0283124202. The cubic root of 460404064 is about 772.1702220684.

The spelling of 460404064 in words is "four hundred sixty million, four hundred four thousand, sixty-four".