23907344400 has 225 divisors, whose sum is σ = 85901542221. Its totient is φ = 6367870080.

The previous prime is 23907344353. The next prime is 23907344407. The reversal of 23907344400 is 444370932.

The square root of 23907344400 is 154620.

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

It can be written as a sum of positive squares in only one way, i.e., 8606643984 + 15300700416 = 92772^2 + 123696^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×23907344400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23907344407) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 27831171 + ... + 27832029.

Almost surely, 2^23907344400 is an apocalyptic number.

23907344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23907344400 is the 154620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23907344400

23907344400 is an abundant number, since it is smaller than the sum of its proper divisors (61994197821).

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

23907344400 is an frugal number, since it uses more digits than its factorization.

23907344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 23907344400 by its sum of digits (36), we get a square (860664398400 = 927720²).

23907344400 divided by its sum of digits (36) gives a square (664092900 = 25770²).

The spelling of 23907344400 in words is "twenty-three billion, nine hundred seven million, three hundred forty-four thousand, four hundred".