233996400 has 360 divisors, whose sum is σ = 935475840. Its totient is φ = 53568000.

The previous prime is 233996387. The next prime is 233996417. The reversal of 233996400 is 4699332.

233996400 = 126³ + 127³ + ... + 185³.

It is a happy number.

233996400 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 752245 + ... + 752555.

It is an arithmetic number, because the mean of its divisors is an integer number (2598544).

Almost surely, 2^233996400 is an apocalyptic number.

233996400 is a gapful number since it is divisible by the number (20) 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 233996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467737920).

233996400 is an abundant number, since it is smaller than the sum of its proper divisors (701479440).

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

233996400 is a wasteful number, since it uses less digits than its factorization.

233996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 233996400 is about 15296.9408706447. The cubic root of 233996400 is about 616.2208546355.

The spelling of 233996400 in words is "two hundred thirty-three million, nine hundred ninety-six thousand, four hundred".