462975700 has 72 divisors (see below), whose sum is σ = 1131427584. Its totient is φ = 162912000.

The previous prime is 462975697. The next prime is 462975707. The reversal of 462975700 is 7579264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462975707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27312 + ... + 40888.

It is an arithmetic number, because the mean of its divisors is an integer number (15714272).

Almost surely, 2^462975700 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 462975700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565713792).

462975700 is an abundant number, since it is smaller than the sum of its proper divisors (668451884).

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

462975700 is a wasteful number, since it uses less digits than its factorization.

462975700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633 (or 13626 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 462975700 is about 21516.8701255550. The cubic root of 462975700 is about 773.6052332811.

The spelling of 462975700 in words is "four hundred sixty-two million, nine hundred seventy-five thousand, seven hundred".