382507488 has 192 divisors, whose sum is σ = 1229437440. Its totient is φ = 114739200.

The previous prime is 382507471. The next prime is 382507501. The reversal of 382507488 is 884705283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587048 + ... + 1587288.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2^382507488 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 382507488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614718720).

382507488 is an abundant number, since it is smaller than the sum of its proper divisors (846929952).

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

382507488 is a wasteful number, since it uses less digits than its factorization.

382507488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 382507488 is about 19557.7986491323. The cubic root of 382507488 is about 725.9053219886.

The spelling of 382507488 in words is "three hundred eighty-two million, five hundred seven thousand, four hundred eighty-eight".