233000400 has 60 divisors (see below), whose sum is σ = 746381792. Its totient is φ = 62133120.

The previous prime is 233000393. The next prime is 233000429. The reversal of 233000400 is 4000332.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95884 + ... + 98283.

Almost surely, 2^233000400 is an apocalyptic number.

233000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233000400 is an abundant number, since it is smaller than the sum of its proper divisors (513381392).

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

233000400 is a wasteful number, since it uses less digits than its factorization.

233000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194188 (or 194177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 233000400 is about 15264.3506249038. The cubic root of 233000400 is about 615.3453014949.

Adding to 233000400 its reverse (4000332), we get a palindrome (237000732).

The spelling of 233000400 in words is "two hundred thirty-three million, four hundred", and thus it is an aban number.