23000400 has 90 divisors (see below), whose sum is σ = 79830270. Its totient is φ = 6132480.

The previous prime is 23000377. The next prime is 23000401. The reversal of 23000400 is 400032.

It can be written as a sum of positive squares in 3 ways, for example, as 304704 + 22695696 = 552^2 + 4764^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000401) 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, 406 + ... + 6794.

It is an arithmetic number, because the mean of its divisors is an integer number (887003).

Almost surely, 2^23000400 is an apocalyptic number.

23000400 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 23000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39915135).

23000400 is an abundant number, since it is smaller than the sum of its proper divisors (56829870).

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

23000400 is a wasteful number, since it uses less digits than its factorization.

23000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23000400 is about 4795.8732260142. The cubic root of 23000400 is about 284.3883465941.

Adding to 23000400 its reverse (400032), we get a palindrome (23400432).

The spelling of 23000400 in words is "twenty-three million, four hundred", and thus it is an aban number.