332438400 has 576 divisors, whose sum is σ = 1450219680. Its totient is φ = 70778880.

The previous prime is 332438363. The next prime is 332438413. The reversal of 332438400 is 4834233.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×332438400² = 221030579589120000, 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 71 ways as a sum of consecutive naturals, for example, 3427152 + ... + 3427248.

Almost surely, 2^332438400 is an apocalyptic number.

332438400 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 332438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725109840).

332438400 is an abundant number, since it is smaller than the sum of its proper divisors (1117781280).

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

332438400 is a wasteful number, since it uses less digits than its factorization.

332438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 332438400 is about 18232.8933524002. The cubic root of 332438400 is about 692.7402060874.

The spelling of 332438400 in words is "three hundred thirty-two million, four hundred thirty-eight thousand, four hundred".