468258900 has 72 divisors (see below), whose sum is σ = 1357038144. Its totient is φ = 124665600.

The previous prime is 468258893. The next prime is 468258919. The reversal of 468258900 is 9852864.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 309145 + ... + 310655.

It is an arithmetic number, because the mean of its divisors is an integer number (18847752).

Almost surely, 2^468258900 is an apocalyptic number.

It is an amenable number.

468258900 is an abundant number, since it is smaller than the sum of its proper divisors (888779244).

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

468258900 is a wasteful number, since it uses less digits than its factorization.

468258900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 468258900 is about 21639.2906538084. The cubic root of 468258900 is about 776.5367495817.

The spelling of 468258900 in words is "four hundred sixty-eight million, two hundred fifty-eight thousand, nine hundred".