233076528400 has 135 divisors (see below), whose sum is σ = 567941758063. Its totient is φ = 91921312000.

The previous prime is 233076528331. The next prime is 233076528403. The reversal of 233076528400 is 4825670332.

The square root of 233076528400 is 482780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43036332304 + 190040196096 = 207452^2 + 435936^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233076528403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 975215481 + ... + 975215719.

Almost surely, 2^233076528400 is an apocalyptic number.

233076528400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

233076528400 is the 482780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233076528400

233076528400 is an abundant number, since it is smaller than the sum of its proper divisors (334865229663).

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

233076528400 is an equidigital number, since it uses as much as digits as its factorization.

233076528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 233076528400 in words is "two hundred thirty-three billion, seventy-six million, five hundred twenty-eight thousand, four hundred".