382545504 has 120 divisors (see below), whose sum is σ = 1227424968. Its totient is φ = 115914240.

The previous prime is 382545481. The next prime is 382545517. The reversal of 382545504 is 405545283.

It is a super-2 number, since 2×382545504² = 292682125261228032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21804 + ... + 35220.

Almost surely, 2^382545504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382545504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613712484).

382545504 is an abundant number, since it is smaller than the sum of its proper divisors (844879464).

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

382545504 is a wasteful number, since it uses less digits than its factorization.

382545504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13450 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 382545504 is about 19558.7705135062. The cubic root of 382545504 is about 725.9293695375.

The spelling of 382545504 in words is "three hundred eighty-two million, five hundred forty-five thousand, five hundred four".