23814400 has 81 divisors (see below), whose sum is σ = 59926503. Its totient is φ = 9369600.

The previous prime is 23814379. The next prime is 23814409. The reversal of 23814400 is 441832.

The square root of 23814400 is 4880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 12845056 = 3312^2 + 3584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23814409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 390370 + ... + 390430.

Almost surely, 2^23814400 is an apocalyptic number.

23814400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23814400 is the 4880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23814400

23814400 is an abundant number, since it is smaller than the sum of its proper divisors (36112103).

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

23814400 is an frugal number, since it uses more digits than its factorization.

23814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The cubic root of 23814400 is about 287.7044292736.

The spelling of 23814400 in words is "twenty-three million, eight hundred fourteen thousand, four hundred".