332450400 has 144 divisors (see below), whose sum is σ = 1097929728. Its totient is φ = 87360000.

The previous prime is 332450389. The next prime is 332450423. The reversal of 332450400 is 4054233.

It is a happy number.

332450400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332450400² = 221046536920320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169425 + ... + 171375.

It is an arithmetic number, because the mean of its divisors is an integer number (7624512).

Almost surely, 2^332450400 is an apocalyptic number.

332450400 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 332450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548964864).

332450400 is an abundant number, since it is smaller than the sum of its proper divisors (765479328).

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

332450400 is a wasteful number, since it uses less digits than its factorization.

332450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 332450400 is about 18233.2224250131. Note that the first 3 decimals coincide. The cubic root of 332450400 is about 692.7485412481.

The spelling of 332450400 in words is "three hundred thirty-two million, four hundred fifty thousand, four hundred".