233314400 has 72 divisors (see below), whose sum is σ = 621382104. Its totient is φ = 84838400.

The previous prime is 233314399. The next prime is 233314421. The reversal of 233314400 is 4413332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4457 + ... + 22056.

It is an arithmetic number, because the mean of its divisors is an integer number (8630307).

Almost surely, 2^233314400 is an apocalyptic number.

233314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233314400 is an abundant number, since it is smaller than the sum of its proper divisors (388067704).

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

233314400 is a wasteful number, since it uses less digits than its factorization.

233314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26544 (or 26531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 233314400 is about 15274.6325651388. The cubic root of 233314400 is about 615.6215981500.

Adding to 233314400 its reverse (4413332), we get a palindrome (237727732).

The spelling of 233314400 in words is "two hundred thirty-three million, three hundred fourteen thousand, four hundred".