233265500400 has 240 divisors, whose sum is σ = 787177395200. Its totient is φ = 58883604480.

The previous prime is 233265500389. The next prime is 233265500401. The reversal of 233265500400 is 4005562332.

233265500400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233265500401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35724336 + ... + 35730864.

Almost surely, 2^233265500400 is an apocalyptic number.

233265500400 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 233265500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393588697600).

233265500400 is an abundant number, since it is smaller than the sum of its proper divisors (553911894800).

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

233265500400 is a wasteful number, since it uses less digits than its factorization.

233265500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 233265500400 in words is "two hundred thirty-three billion, two hundred sixty-five million, five hundred thousand, four hundred".