332256000 has 144 divisors (see below), whose sum is σ = 1103907168. Its totient is φ = 88576000.

The previous prime is 332255981. The next prime is 332256013. The reversal of 332256000 is 652233.

It is a super-2 number, since 2×332256000² = 220788099072000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 94270 + ... + 97730.

It is an arithmetic number, because the mean of its divisors is an integer number (7666022).

Almost surely, 2^332256000 is an apocalyptic number.

332256000 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 332256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551953584).

332256000 is an abundant number, since it is smaller than the sum of its proper divisors (771651168).

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

332256000 is an equidigital number, since it uses as much as digits as its factorization.

332256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 332256000 is about 18227.8907172498. The cubic root of 332256000 is about 692.6134869419.

The spelling of 332256000 in words is "three hundred thirty-two million, two hundred fifty-six thousand".