382869504 has 140 divisors (see below), whose sum is σ = 1145794254. Its totient is φ = 127401984.

The previous prime is 382869503. The next prime is 382869511. The reversal of 382869504 is 405968283.

382869504 is a `hidden beast` number, since 3 + 82 + 8 + 69 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207360000 + 175509504 = 14400^2 + 13248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 382869504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382869503) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663264 + ... + 663840.

Almost surely, 2^382869504 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 382869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572897127).

382869504 is an abundant number, since it is smaller than the sum of its proper divisors (762924750).

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

382869504 is an frugal number, since it uses more digits than its factorization.

382869504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 382869504 is about 19567.0514896854. The cubic root of 382869504 is about 726.1342556166.

The spelling of 382869504 in words is "three hundred eighty-two million, eight hundred sixty-nine thousand, five hundred four".