23378400 has 216 divisors, whose sum is σ = 87744384. Its totient is φ = 5836800.

The previous prime is 23378393. The next prime is 23378423. The reversal of 23378400 is 487332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122305 + ... + 122495.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^23378400 is an apocalyptic number.

23378400 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 23378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

23378400 is an abundant number, since it is smaller than the sum of its proper divisors (64365984).

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

23378400 is a wasteful number, since it uses less digits than its factorization.

23378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23378400 is about 4835.1215082974. The cubic root of 23378400 is about 285.9378155510.

The spelling of 23378400 in words is "twenty-three million, three hundred seventy-eight thousand, four hundred".