23330400 has 72 divisors (see below), whose sum is σ = 75948264. Its totient is φ = 6220800.

The previous prime is 23330389. The next prime is 23330407. The reversal of 23330400 is 403332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23330400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2461 + ... + 7260.

It is an arithmetic number, because the mean of its divisors is an integer number (1054837).

Almost surely, 2^23330400 is an apocalyptic number.

23330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23330400 is an abundant number, since it is smaller than the sum of its proper divisors (52617864).

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

23330400 is a wasteful number, since it uses less digits than its factorization.

23330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 23330400 is about 4830.1552770071. The cubic root of 23330400 is about 285.7419877902.

Adding to 23330400 its reverse (403332), we get a palindrome (23733732).

The spelling of 23330400 in words is "twenty-three million, three hundred thirty thousand, four hundred".