468312700 has 72 divisors (see below), whose sum is σ = 1066306752. Its totient is φ = 178318080.

The previous prime is 468312697. The next prime is 468312707. The reversal of 468312700 is 7213864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468312707) 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, 172554 + ... + 175246.

It is an arithmetic number, because the mean of its divisors is an integer number (14809816).

Almost surely, 2^468312700 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 468312700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533153376).

468312700 is an abundant number, since it is smaller than the sum of its proper divisors (597994052).

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

468312700 is a wasteful number, since it uses less digits than its factorization.

468312700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 468312700 is about 21640.5337272443. The cubic root of 468312700 is about 776.5664881709.

The spelling of 468312700 in words is "four hundred sixty-eight million, three hundred twelve thousand, seven hundred".