382088960 has 108 divisors (see below), whose sum is σ = 1006396104. Its totient is φ = 138885120.

The previous prime is 382088939. The next prime is 382088977. The reversal of 382088960 is 69880283.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153647 + ... + 156113.

Almost surely, 2^382088960 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 382088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503198052).

382088960 is an abundant number, since it is smaller than the sum of its proper divisors (624307144).

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

382088960 is a wasteful number, since it uses less digits than its factorization.

382088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 382088960 is about 19547.0959479919. The cubic root of 382088960 is about 725.6404708971.

The spelling of 382088960 in words is "three hundred eighty-two million, eighty-eight thousand, nine hundred sixty".