23004400 has 90 divisors (see below), whose sum is σ = 59005400. Its totient is φ = 8616960.

The previous prime is 23004391. The next prime is 23004409. The reversal of 23004400 is 440032.

23004400 = T₁₂₁ + T₁₂₂ + ... + T₅₁₈.

It is an interprime number because it is at equal distance from previous prime (23004391) and next prime (23004409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23004409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115501 + ... + 115699.

Almost surely, 2^23004400 is an apocalyptic number.

23004400 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 23004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29502700).

23004400 is an abundant number, since it is smaller than the sum of its proper divisors (36001000).

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

23004400 is a wasteful number, since it uses less digits than its factorization.

23004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 23004400 is about 4796.2902330864. The cubic root of 23004400 is about 284.4048316328.

Adding to 23004400 its reverse (440032), we get a palindrome (23444432).

The spelling of 23004400 in words is "twenty-three million, four thousand, four hundred".