468305600 has 84 divisors (see below), whose sum is σ = 1316973744. Its totient is φ = 160558080.

The previous prime is 468305587. The next prime is 468305609. The reversal of 468305600 is 6503864.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (468305609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9707 + ... + 32106.

Almost surely, 2^468305600 is an apocalyptic number.

468305600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468305600 is an abundant number, since it is smaller than the sum of its proper divisors (848668144).

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

468305600 is a wasteful number, since it uses less digits than its factorization.

468305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41842 (or 41827 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 468305600 is about 21640.3696826094. The cubic root of 468305600 is about 776.5625636920.

The spelling of 468305600 in words is "four hundred sixty-eight million, three hundred five thousand, six hundred".