233798400 has 540 divisors, whose sum is σ = 966047544. Its totient is φ = 55296000.

The previous prime is 233798387. The next prime is 233798419. The reversal of 233798400 is 4897332.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5702380 + ... + 5702420.

Almost surely, 2^233798400 is an apocalyptic number.

233798400 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 233798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483023772).

233798400 is an abundant number, since it is smaller than the sum of its proper divisors (732249144).

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

233798400 is a wasteful number, since it uses less digits than its factorization.

233798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 233798400 is about 15290.4676187486. The cubic root of 233798400 is about 616.0469970328.

The spelling of 233798400 in words is "two hundred thirty-three million, seven hundred ninety-eight thousand, four hundred".