23794400 has 108 divisors (see below), whose sum is σ = 67683168. Its totient is φ = 8144640.

The previous prime is 23794387. The next prime is 23794439. The reversal of 23794400 is 449732.

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 17 ways as a sum of consecutive naturals, for example, 38897 + ... + 39503.

It is an arithmetic number, because the mean of its divisors is an integer number (626696).

Almost surely, 2^23794400 is an apocalyptic number.

23794400 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 23794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841584).

23794400 is an abundant number, since it is smaller than the sum of its proper divisors (43888768).

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

23794400 is a wasteful number, since it uses less digits than its factorization.

23794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 23794400 is about 4877.9503892516. The cubic root of 23794400 is about 287.6238659708.

It can be divided in two parts, 2379 and 4400, that multiplied together give a triangular number (10467600 = T₄₅₇₅).

The spelling of 23794400 in words is "twenty-three million, seven hundred ninety-four thousand, four hundred".