23457200 has 90 divisors (see below), whose sum is σ = 61200324. Its totient is φ = 8636160.

The previous prime is 23457199. The next prime is 23457209. The reversal of 23457200 is 275432.

It is not an unprimeable number, because it can be changed into a prime (23457209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67427 + ... + 67773.

Almost surely, 2^23457200 is an apocalyptic number.

23457200 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 23457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600162).

23457200 is an abundant number, since it is smaller than the sum of its proper divisors (37743124).

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

23457200 is a wasteful number, since it uses less digits than its factorization.

23457200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 23457200 is about 4843.2633626513. The cubic root of 23457200 is about 286.2587190571.

The spelling of 23457200 in words is "twenty-three million, four hundred fifty-seven thousand, two hundred".