332199608400 has 480 divisors, whose sum is σ = 1331497635840. Its totient is φ = 77934528000.

The previous prime is 332199608399. The next prime is 332199608441. The reversal of 332199608400 is 4806991233.

It is a happy number.

332199608400 is a `hidden beast` number, since 3 + 32 + 1 + 9 + 9 + 608 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×332199608400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3637699 + ... + 3727901.

It is an arithmetic number, because the mean of its divisors is an integer number (2773953408).

Almost surely, 2^332199608400 is an apocalyptic number.

332199608400 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 332199608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665748817920).

332199608400 is an abundant number, since it is smaller than the sum of its proper divisors (999298027440).

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

332199608400 is a wasteful number, since it uses less digits than its factorization.

332199608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90272 (or 90255 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 332199608400 in words is "three hundred thirty-two billion, one hundred ninety-nine million, six hundred eight thousand, four hundred".