460884624 has 80 divisors (see below), whose sum is σ = 1219600512. Its totient is φ = 149935104.

The previous prime is 460884623. The next prime is 460884667. The reversal of 460884624 is 426488064.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (460884623) 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 15 ways as a sum of consecutive naturals, for example, 360274 + ... + 361550.

Almost surely, 2^460884624 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 460884624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609800256).

460884624 is an abundant number, since it is smaller than the sum of its proper divisors (758715888).

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

460884624 is a wasteful number, since it uses less digits than its factorization.

460884624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 460884624 is about 21468.2235874327. The cubic root of 460884624 is about 772.4387869511.

The spelling of 460884624 in words is "four hundred sixty million, eight hundred eighty-four thousand, six hundred twenty-four".