468373680 has 60 divisors (see below), whose sum is σ = 1572957360. Its totient is φ = 124899456.

The previous prime is 468373643. The next prime is 468373729. The reversal of 468373680 is 86373864.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 324540 + ... + 325979.

It is an arithmetic number, because the mean of its divisors is an integer number (26215956).

Almost surely, 2^468373680 is an apocalyptic number.

468373680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468373680 is an abundant number, since it is smaller than the sum of its proper divisors (1104583680).

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

468373680 is a wasteful number, since it uses less digits than its factorization.

468373680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650538 (or 650529 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 468373680 is about 21641.9426115125. The cubic root of 468373680 is about 776.6001928368.

The spelling of 468373680 in words is "four hundred sixty-eight million, three hundred seventy-three thousand, six hundred eighty".