382464400608 has 72 divisors (see below), whose sum is σ = 1097611515000. Its totient is φ = 126318507264.

The previous prime is 382464400607. The next prime is 382464400613. The reversal of 382464400608 is 806004464283.

382464400608 is a `hidden beast` number, since 38 + 2 + 4 + 6 + 4 + 4 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382464400607) 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, 6060358 + ... + 6123141.

It is an arithmetic number, because the mean of its divisors is an integer number (15244604375).

Almost surely, 2^382464400608 is an apocalyptic number.

It is an amenable number.

382464400608 is an abundant number, since it is smaller than the sum of its proper divisors (715147114392).

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

382464400608 is a wasteful number, since it uses less digits than its factorization.

382464400608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12183624 (or 12183613 counting only the distinct ones).

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

The spelling of 382464400608 in words is "three hundred eighty-two billion, four hundred sixty-four million, four hundred thousand, six hundred eight".