382520880 has 280 divisors, whose sum is σ = 1525548192. Its totient is φ = 87340032.

The previous prime is 382520839. The next prime is 382520881. The reversal of 382520880 is 88025283.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (382520881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407772 + ... + 408708.

Almost surely, 2^382520880 is an apocalyptic number.

382520880 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 382520880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762774096).

382520880 is an abundant number, since it is smaller than the sum of its proper divisors (1143027312).

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

382520880 is an equidigital number, since it uses as much as digits as its factorization.

382520880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 382520880 is about 19558.1410159555. The cubic root of 382520880 is about 725.9137934660.

The spelling of 382520880 in words is "three hundred eighty-two million, five hundred twenty thousand, eight hundred eighty".