382799520 has 120 divisors (see below), whose sum is σ = 1351009044. Its totient is φ = 102076416.

The previous prime is 382799513. The next prime is 382799533. The reversal of 382799520 is 25997283.

382799520 is a `hidden beast` number, since 38 + 2 + 7 + 99 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312440976 + 70358544 = 17676^2 + 8388^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1809 + ... + 27728.

Almost surely, 2^382799520 is an apocalyptic number.

382799520 is a gapful number since it is divisible by the number (30) 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 382799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675504522).

382799520 is an abundant number, since it is smaller than the sum of its proper divisors (968209524).

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

382799520 is a wasteful number, since it uses less digits than its factorization.

382799520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29564 (or 29547 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 382799520 is about 19565.2630955988. The cubic root of 382799520 is about 726.0900100134.

The spelling of 382799520 in words is "three hundred eighty-two million, seven hundred ninety-nine thousand, five hundred twenty".