23038400 has 252 divisors, whose sum is σ = 75401424. Its totient is φ = 6758400.

The previous prime is 23038397. The next prime is 23038409. The reversal of 23038400 is 483032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23038409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1355192 + ... + 1355208.

It is an arithmetic number, because the mean of its divisors is an integer number (299212).

Almost surely, 2^23038400 is an apocalyptic number.

23038400 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 23038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37700712).

23038400 is an abundant number, since it is smaller than the sum of its proper divisors (52363024).

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

23038400 is a wasteful number, since it uses less digits than its factorization.

23038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 23038400 is about 4799.8333304397. The cubic root of 23038400 is about 284.5448773673.

The spelling of 23038400 in words is "twenty-three million, thirty-eight thousand, four hundred".