460952464 has 80 divisors (see below), whose sum is σ = 1079930880. Its totient is φ = 186192000.

The previous prime is 460952447. The next prime is 460952489. The reversal of 460952464 is 464259064.

It is a happy 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, 533697 + ... + 534559.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 2^460952464 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 460952464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

460952464 is an abundant number, since it is smaller than the sum of its proper divisors (618978416).

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

460952464 is a wasteful number, since it uses less digits than its factorization.

460952464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 460952464 is about 21469.8035389242. The cubic root of 460952464 is about 772.4766848498.

The spelling of 460952464 in words is "four hundred sixty million, nine hundred fifty-two thousand, four hundred sixty-four".