332025408 has 336 divisors, whose sum is σ = 1164945600. Its totient is φ = 89026560.

The previous prime is 332025377. The next prime is 332025433. The reversal of 332025408 is 804520233.

It is a super-2 number, since 2×332025408² = 220481743115132928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2388603 + ... + 2388741.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100).

Almost surely, 2^332025408 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 332025408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582472800).

332025408 is an abundant number, since it is smaller than the sum of its proper divisors (832920192).

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

332025408 is a wasteful number, since it uses less digits than its factorization.

332025408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 332025408 is about 18221.5643675289. The cubic root of 332025408 is about 692.4532208710.

The spelling of 332025408 in words is "three hundred thirty-two million, twenty-five thousand, four hundred eight".