23253408 has 72 divisors (see below), whose sum is σ = 66594528. Its totient is φ = 7696512.

The previous prime is 23253371. The next prime is 23253409. The reversal of 23253408 is 80435232.

23253408 is a `hidden beast` number, since 2 + 3 + 253 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23253408² = 1081441967228928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23253409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75591 + ... + 75897.

It is an arithmetic number, because the mean of its divisors is an integer number (924924).

Almost surely, 2^23253408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33297264).

23253408 is an abundant number, since it is smaller than the sum of its proper divisors (43341120).

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

23253408 is a wasteful number, since it uses less digits than its factorization.

23253408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23253408 is about 4822.1787606848. The cubic root of 23253408 is about 285.4273183467.

The spelling of 23253408 in words is "twenty-three million, two hundred fifty-three thousand, four hundred eight".