332985600 has 432 divisors, whose sum is σ = 1277418240. Its totient is φ = 84787200.

The previous prime is 332985599. The next prime is 332985617. The reversal of 332985600 is 6589233.

332985600 is a `hidden beast` number, since 3 + 3 + 2 + 98 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×332985600² = 221758819614720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7084777 + ... + 7084823.

Almost surely, 2^332985600 is an apocalyptic number.

332985600 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 332985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638709120).

332985600 is an abundant number, since it is smaller than the sum of its proper divisors (944432640).

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

332985600 is a wasteful number, since it uses less digits than its factorization.

332985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 332985600 is about 18247.8930290595. The cubic root of 332985600 is about 693.1200856347.

The spelling of 332985600 in words is "three hundred thirty-two million, nine hundred eighty-five thousand, six hundred".