468657400 has 48 divisors (see below), whose sum is σ = 1127215800. Its totient is φ = 180996480.

The previous prime is 468657391. The next prime is 468657421. The reversal of 468657400 is 4756864.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34602 + ... + 46201.

Almost surely, 2^468657400 is an apocalyptic number.

468657400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468657400 is an abundant number, since it is smaller than the sum of its proper divisors (658558400).

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

468657400 is a wasteful number, since it uses less digits than its factorization.

468657400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80848 (or 80839 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 468657400 is about 21648.4964835898. The cubic root of 468657400 is about 776.7569711678.

The spelling of 468657400 in words is "four hundred sixty-eight million, six hundred fifty-seven thousand, four hundred".