332874080 has 192 divisors, whose sum is σ = 1005903360. Its totient is φ = 101068800.

The previous prime is 332874037. The next prime is 332874097. The reversal of 332874080 is 80478233.

It is a super-2 number, since 2×332874080² = 221610306271692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 332874080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504791 + ... + 505449.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^332874080 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 332874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

332874080 is an abundant number, since it is smaller than the sum of its proper divisors (673029280).

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

332874080 is a wasteful number, since it uses less digits than its factorization.

332874080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 332874080 is about 18244.8370779243. The cubic root of 332874080 is about 693.0426995228.

The spelling of 332874080 in words is "three hundred thirty-two million, eight hundred seventy-four thousand, eighty".