23414400 has 192 divisors, whose sum is σ = 86006400. Its totient is φ = 6220800.

The previous prime is 23414371. The next prime is 23414407. The reversal of 23414400 is 441432.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23414407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86265 + ... + 86535.

It is an arithmetic number, because the mean of its divisors is an integer number (447950).

Almost surely, 2^23414400 is an apocalyptic number.

23414400 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 23414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43003200).

23414400 is an abundant number, since it is smaller than the sum of its proper divisors (62592000).

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

23414400 is a wasteful number, since it uses less digits than its factorization.

23414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23414400 is about 4838.8428368774. The cubic root of 23414400 is about 286.0845105365.

Adding to 23414400 its reverse (441432), we get a palindrome (23855832).

The spelling of 23414400 in words is "twenty-three million, four hundred fourteen thousand, four hundred".