332925120 has 448 divisors, whose sum is σ = 1334292480. Its totient is φ = 77414400.

The previous prime is 332925119. The next prime is 332925121. The reversal of 332925120 is 21529233.

It is an interprime number because it is at equal distance from previous prime (332925119) and next prime (332925121).

It is a super-2 number, since 2×332925120² = 221678271054028800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332925121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2946184 + ... + 2946296.

Almost surely, 2^332925120 is an apocalyptic number.

332925120 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 332925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667146240).

332925120 is an abundant number, since it is smaller than the sum of its proper divisors (1001367360).

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

332925120 is a wasteful number, since it uses less digits than its factorization.

332925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 332925120 is about 18246.2357761813. The cubic root of 332925120 is about 693.0781194145.

The spelling of 332925120 in words is "three hundred thirty-two million, nine hundred twenty-five thousand, one hundred twenty".