332813360 has 80 divisors (see below), whose sum is σ = 850874112. Its totient is φ = 120057600.

The previous prime is 332813323. The next prime is 332813387. The reversal of 332813360 is 63318233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×332813360² = 221529465188979200, 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, 113837 + ... + 116723.

Almost surely, 2^332813360 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 332813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425437056).

332813360 is an abundant number, since it is smaller than the sum of its proper divisors (518060752).

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

332813360 is a wasteful number, since it uses less digits than its factorization.

332813360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 332813360 is about 18243.1729696344. The cubic root of 332813360 is about 693.0005573493. Note that the first 3 decimals are identical.

The spelling of 332813360 in words is "three hundred thirty-two million, eight hundred thirteen thousand, three hundred sixty".