382408800 has 72 divisors (see below), whose sum is σ = 1244748456. Its totient is φ = 101975040.

The previous prime is 382408771. The next prime is 382408813. The reversal of 382408800 is 8804283.

It is a super-4 number, since 4×382408800⁴ (a number of 35 digits) contains 4444 as substring.

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, 77269 + ... + 82068.

It is an arithmetic number, because the mean of its divisors is an integer number (17288173).

Almost surely, 2^382408800 is an apocalyptic number.

382408800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382408800 is an abundant number, since it is smaller than the sum of its proper divisors (862339656).

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

382408800 is a wasteful number, since it uses less digits than its factorization.

382408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159360 (or 159347 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 382408800 is about 19555.2755030452. The cubic root of 382408800 is about 725.8428880856.

The spelling of 382408800 in words is "three hundred eighty-two million, four hundred eight thousand, eight hundred".