468381600 has 108 divisors (see below), whose sum is σ = 1651656006. Its totient is φ = 124899840.

The previous prime is 468381587. The next prime is 468381629. The reversal of 468381600 is 6183864.

It is a happy number.

468381600 is a `hidden beast` number, since 46 + 8 + 3 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 213276816 + 255104784 = 14604^2 + 15972^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25327 + ... + 39726.

Almost surely, 2^468381600 is an apocalyptic number.

468381600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468381600 is an abundant number, since it is smaller than the sum of its proper divisors (1183274406).

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

468381600 is a wasteful number, since it uses less digits than its factorization.

468381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65079 (or 65063 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 468381600 is about 21642.1255887678. The cubic root of 468381600 is about 776.6045701386.

The spelling of 468381600 in words is "four hundred sixty-eight million, three hundred eighty-one thousand, six hundred".