382045872 has 160 divisors (see below), whose sum is σ = 1106804160. Its totient is φ = 112803840.

The previous prime is 382045861. The next prime is 382045883. The reversal of 382045872 is 278540283.

It is an interprime number because it is at equal distance from previous prime (382045861) and next prime (382045883).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 382045872.

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, 2788588 + ... + 2788724.

It is an arithmetic number, because the mean of its divisors is an integer number (6917526).

Almost surely, 2^382045872 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 382045872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553402080).

382045872 is an abundant number, since it is smaller than the sum of its proper divisors (724758288).

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

382045872 is a wasteful number, since it uses less digits than its factorization.

382045872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 382045872 is about 19545.9937583127. The cubic root of 382045872 is about 725.6131931553.

The spelling of 382045872 in words is "three hundred eighty-two million, forty-five thousand, eight hundred seventy-two".