332971920 has 120 divisors (see below), whose sum is σ = 1166907456. Its totient is φ = 84927744.

The previous prime is 332971913. The next prime is 332971921. The reversal of 332971920 is 29179233.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×332971920² = 221740599016972800, which contains 22 as substring.

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 (332971921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6507 + ... + 26613.

Almost surely, 2^332971920 is an apocalyptic number.

332971920 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 332971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583453728).

332971920 is an abundant number, since it is smaller than the sum of its proper divisors (833935536).

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

332971920 is a wasteful number, since it uses less digits than its factorization.

332971920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20149 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 332971920 is about 18247.5181874139. The cubic root of 332971920 is about 693.1105937201.

The spelling of 332971920 in words is "three hundred thirty-two million, nine hundred seventy-one thousand, nine hundred twenty".