468378400 has 72 divisors (see below), whose sum is σ = 1306791360. Its totient is φ = 160584960.

The previous prime is 468378397. The next prime is 468378419. The reversal of 468378400 is 4873864.

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

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, 36220 + ... + 47419.

It is an arithmetic number, because the mean of its divisors is an integer number (18149880).

Almost surely, 2^468378400 is an apocalyptic number.

468378400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468378400 is an abundant number, since it is smaller than the sum of its proper divisors (838412960).

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

468378400 is a wasteful number, since it uses less digits than its factorization.

468378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83666 (or 83653 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 468378400 is about 21642.0516587499. The cubic root of 468378400 is about 776.6028015377.

The spelling of 468378400 in words is "four hundred sixty-eight million, three hundred seventy-eight thousand, four hundred".