332564400 has 480 divisors, whose sum is σ = 1394910720. Its totient is φ = 73681920.

The previous prime is 332564381. The next prime is 332564423. The reversal of 332564400 is 4465233.

332564400 is a `hidden beast` number, since 3 + 3 + 256 + 4 + 400 = 666.

It is a super-2 number, since 2×332564400² = 221198160294720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4006759 + ... + 4006841.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2^332564400 is an apocalyptic number.

332564400 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 332564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697455360).

332564400 is an abundant number, since it is smaller than the sum of its proper divisors (1062346320).

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

332564400 is a wasteful number, since it uses less digits than its factorization.

332564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 332564400 is about 18236.3483186739. The cubic root of 332564400 is about 692.8277152728.

The spelling of 332564400 in words is "three hundred thirty-two million, five hundred sixty-four thousand, four hundred".