382895520 has 96 divisors (see below), whose sum is σ = 1378435968. Its totient is φ = 87518208.

The previous prime is 382895459. The next prime is 382895531. The reversal of 382895520 is 25598283.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53619 + ... + 60338.

It is an arithmetic number, because the mean of its divisors is an integer number (14358708).

Almost surely, 2^382895520 is an apocalyptic number.

382895520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382895520 is an abundant number, since it is smaller than the sum of its proper divisors (995540448).

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

382895520 is a wasteful number, since it uses less digits than its factorization.

382895520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113982 (or 113974 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 382895520 is about 19567.7162694066. The cubic root of 382895520 is about 726.1507021958.

The spelling of 382895520 in words is "three hundred eighty-two million, eight hundred ninety-five thousand, five hundred twenty".