332804160 has 224 divisors, whose sum is σ = 1264798080. Its totient is φ = 81893376.

The previous prime is 332804149. The next prime is 332804167. The reversal of 332804160 is 61408233.

It is a happy number.

It is a super-2 number, since 2×332804160² = 221517217826611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (332804167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110839 + ... + 113801.

It is an arithmetic number, because the mean of its divisors is an integer number (5646420).

Almost surely, 2^332804160 is an apocalyptic number.

332804160 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 332804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

332804160 is an abundant number, since it is smaller than the sum of its proper divisors (931993920).

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

332804160 is a wasteful number, since it uses less digits than its factorization.

332804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 332804160 is about 18242.9208187724. The cubic root of 332804160 is about 692.9941717244.

The spelling of 332804160 in words is "three hundred thirty-two million, eight hundred four thousand, one hundred sixty".