382515364 has 81 divisors (see below), whose sum is σ = 862710219. Its totient is φ = 147858480.

The previous prime is 382515319. The next prime is 382515407. The reversal of 382515364 is 463515283.

The square root of 382515364 is 19558.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×382515364³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3011869 + ... + 3011995.

Almost surely, 2^382515364 is an apocalyptic number.

382515364 is the 19558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382515364

382515364 is an abundant number, since it is smaller than the sum of its proper divisors (480194855).

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

382515364 is a wasteful number, since it uses less digits than its factorization.

382515364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The cubic root of 382515364 is about 725.9103041927.

The spelling of 382515364 in words is "three hundred eighty-two million, five hundred fifteen thousand, three hundred sixty-four".