468426232800 has 108 divisors (see below), whose sum is σ = 1651788028800. Its totient is φ = 124913660160.

The previous prime is 468426232787. The next prime is 468426232847. The reversal of 468426232800 is 8232624864.

468426232800 is a `hidden beast` number, since 4 + 68 + 4 + 262 + 328 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 32522400 + ... + 32536799.

It is an arithmetic number, because the mean of its divisors is an integer number (15294333600).

Almost surely, 2^468426232800 is an apocalyptic number.

468426232800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468426232800 is an abundant number, since it is smaller than the sum of its proper divisors (1183361796000).

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

468426232800 is a wasteful number, since it uses less digits than its factorization.

468426232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65059225 (or 65059209 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 468426232800 in words is "four hundred sixty-eight billion, four hundred twenty-six million, two hundred thirty-two thousand, eight hundred".