468400 has 30 divisors (see below), whose sum is σ = 1126292. Its totient is φ = 187200.

The previous prime is 468389. The next prime is 468421. The reversal of 468400 is 4864.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186 + ... + 985.

2⁴⁶⁸⁴⁰⁰ is an apocalyptic number.

468400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468400 is an abundant number, since it is smaller than the sum of its proper divisors (657892).

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

468400 is a wasteful number, since it uses less digits than its factorization.

468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 468400 is about 684.3975452907. The cubic root of 468400 is about 77.6614739437.

It can be divided in two parts, 468 and 400, that added together give a palindrome (868).

The spelling of 468400 in words is "four hundred sixty-eight thousand, four hundred".