382593952 has 48 divisors (see below), whose sum is σ = 824525352. Its totient is φ = 173675520.

The previous prime is 382593947. The next prime is 382593973. The reversal of 382593952 is 259395283.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51208336 + 331385616 = 7156^2 + 18204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17838 + ... + 32914.

Almost surely, 2^382593952 is an apocalyptic number.

382593952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382593952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412262676).

382593952 is an abundant number, since it is smaller than the sum of its proper divisors (441931400).

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

382593952 is a wasteful number, since it uses less digits than its factorization.

382593952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15161 (or 15153 counting only the distinct ones).

The product of its digits is 583200, while the sum is 46.

The square root of 382593952 is about 19560.0089979529. The cubic root of 382593952 is about 725.9600136841.

The spelling of 382593952 in words is "three hundred eighty-two million, five hundred ninety-three thousand, nine hundred fifty-two".