332425800 has 216 divisors, whose sum is σ = 1299010050. Its totient is φ = 75962880.

The previous prime is 332425777. The next prime is 332425813. The reversal of 332425800 is 8524233.

It can be written as a sum of positive squares in 3 ways, for example, as 292204836 + 40220964 = 17094^2 + 6342^2 .

It is a super-2 number, since 2×332425800² = 221013825011280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 86316 + ... + 90084.

Almost surely, 2^332425800 is an apocalyptic number.

332425800 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 332425800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649505025).

332425800 is an abundant number, since it is smaller than the sum of its proper divisors (966584250).

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

332425800 is a wasteful number, since it uses less digits than its factorization.

332425800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3786 counting only the distinct ones).

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

The square root of 332425800 is about 18232.5478197645. The cubic root of 332425800 is about 692.7314539528.

The spelling of 332425800 in words is "three hundred thirty-two million, four hundred twenty-five thousand, eight hundred".