468684200 has 48 divisors (see below), whose sum is σ = 1108188000. Its totient is φ = 184291520.

The previous prime is 468684187. The next prime is 468684211. The reversal of 468684200 is 2486864.

It is a happy 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, 8060 + ... + 31659.

It is an arithmetic number, because the mean of its divisors is an integer number (23087250).

Almost surely, 2^468684200 is an apocalyptic number.

468684200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468684200 is an abundant number, since it is smaller than the sum of its proper divisors (639503800).

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

468684200 is a wasteful number, since it uses less digits than its factorization.

468684200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39794 (or 39785 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 468684200 is about 21649.1154553714. The cubic root of 468684200 is about 776.7717770722.

The spelling of 468684200 in words is "four hundred sixty-eight million, six hundred eighty-four thousand, two hundred".