23486400 has 252 divisors, whose sum is σ = 95810832. Its totient is φ = 5345280.

The previous prime is 23486387. The next prime is 23486443. The reversal of 23486400 is 468432.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×23486400² = 1103221969920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 100684 + ... + 100916.

Almost surely, 2^23486400 is an apocalyptic number.

23486400 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 23486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47905416).

23486400 is an abundant number, since it is smaller than the sum of its proper divisors (72324432).

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

23486400 is a wasteful number, since it uses less digits than its factorization.

23486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23486400 is about 4846.2769215141. The cubic root of 23486400 is about 286.3774500311.

The spelling of 23486400 in words is "twenty-three million, four hundred eighty-six thousand, four hundred".