23745400 has 72 divisors (see below), whose sum is σ = 64248120. Its totient is φ = 8137920.

The previous prime is 23745389. The next prime is 23745401. The reversal of 23745400 is 454732.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23745401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8589 + ... + 11011.

It is an arithmetic number, because the mean of its divisors is an integer number (892335).

Almost surely, 2^23745400 is an apocalyptic number.

23745400 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 23745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32124060).

23745400 is an abundant number, since it is smaller than the sum of its proper divisors (40502720).

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

23745400 is a wasteful number, since it uses less digits than its factorization.

23745400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 23745400 is about 4872.9251995080. The cubic root of 23745400 is about 287.4262949058.

The spelling of 23745400 in words is "twenty-three million, seven hundred forty-five thousand, four hundred".