23248400 has 180 divisors, whose sum is σ = 70299072. Its totient is φ = 7223040.

The previous prime is 23248399. The next prime is 23248417. The reversal of 23248400 is 484232.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 35 ways as a sum of consecutive naturals, for example, 1010789 + ... + 1010811.

Almost surely, 2^23248400 is an apocalyptic number.

23248400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35149536).

23248400 is an abundant number, since it is smaller than the sum of its proper divisors (47050672).

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

23248400 is a wasteful number, since it uses less digits than its factorization.

23248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 23248400 is about 4821.6594653708. The cubic root of 23248400 is about 285.4068264022.

The spelling of 23248400 in words is "twenty-three million, two hundred forty-eight thousand, four hundred".