382815120 has 40 divisors (see below), whose sum is σ = 1186727616. Its totient is φ = 102083968.

The previous prime is 382815107. The next prime is 382815133. The reversal of 382815120 is 21518283.

It is an interprime number because it is at equal distance from previous prime (382815107) and next prime (382815133).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×382815120² = 293094832201228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797292 + ... + 797771.

Almost surely, 2^382815120 is an apocalyptic number.

382815120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382815120 is an abundant number, since it is smaller than the sum of its proper divisors (803912496).

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

382815120 is a wasteful number, since it uses less digits than its factorization.

382815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595079 (or 1595073 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 382815120 is about 19565.6617572726. The cubic root of 382815120 is about 726.0998731835.

The spelling of 382815120 in words is "three hundred eighty-two million, eight hundred fifteen thousand, one hundred twenty".