233308320400 has 45 divisors (see below), whose sum is σ = 560546449833. Its totient is φ = 93319464000.

The previous prime is 233308320367. The next prime is 233308320409. The reversal of 233308320400 is 4023803332.

The square root of 233308320400 is 483020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83990995344 + 149317325056 = 289812^2 + 386416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233308320409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9648325 + ... + 9672475.

Almost surely, 2^233308320400 is an apocalyptic number.

233308320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

233308320400 is the 483020-th square number.

It is an amenable number.

233308320400 is an abundant number, since it is smaller than the sum of its proper divisors (327238129433).

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

233308320400 is an frugal number, since it uses more digits than its factorization.

233308320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48320 (or 24158 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 233308320400 in words is "two hundred thirty-three billion, three hundred eight million, three hundred twenty thousand, four hundred".