233906400 has 864 divisors, whose sum is σ = 1122115680. Its totient is φ = 46448640.

The previous prime is 233906347. The next prime is 233906423. The reversal of 233906400 is 4609332.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13759192 + ... + 13759208.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^233906400 is an apocalyptic number.

233906400 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 233906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561057840).

233906400 is an abundant number, since it is smaller than the sum of its proper divisors (888209280).

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

233906400 is a wasteful number, since it uses less digits than its factorization.

233906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 233906400 is about 15293.9988230678. The cubic root of 233906400 is about 616.1418406154.

The spelling of 233906400 in words is "two hundred thirty-three million, nine hundred six thousand, four hundred".