233040400 has 30 divisors (see below), whose sum is σ = 559880522. Its totient is φ = 93216000.

The previous prime is 233040397. The next prime is 233040413. The reversal of 233040400 is 4040332.

233040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2972176 + 230068224 = 1724^2 + 15168^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 290901 + ... + 291700.

Almost surely, 2^233040400 is an apocalyptic number.

233040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233040400 is an abundant number, since it is smaller than the sum of its proper divisors (326840122).

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

233040400 is a wasteful number, since it uses less digits than its factorization.

233040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582619 (or 582608 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 233040400 is about 15265.6608111146. The cubic root of 233040400 is about 615.3805123124.

Adding to 233040400 its reverse (4040332), we get a palindrome (237080732).

The spelling of 233040400 in words is "two hundred thirty-three million, forty thousand, four hundred".