23804474400 has 1260 divisors, whose sum is σ = 107623724922. Its totient is φ = 5120962560.

The previous prime is 23804474389. The next prime is 23804474423. The reversal of 23804474400 is 447440832.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 20415837456 + 3388636944 = 142884^2 + 58212^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 1400263192 + ... + 1400263208.

Almost surely, 2^23804474400 is an apocalyptic number.

23804474400 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 23804474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53811862461).

23804474400 is an abundant number, since it is smaller than the sum of its proper divisors (83819250522).

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

23804474400 is an frugal number, since it uses more digits than its factorization.

23804474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 23804474400 in words is "twenty-three billion, eight hundred four million, four hundred seventy-four thousand, four hundred".