223958400 has 192 divisors, whose sum is σ = 756982800. Its totient is φ = 58163200.

The previous prime is 223958393. The next prime is 223958401. The reversal of 223958400 is 4859322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223958401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393316 + ... + 393884.

Almost surely, 2^223958400 is an apocalyptic number.

223958400 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 223958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378491400).

223958400 is an abundant number, since it is smaller than the sum of its proper divisors (533024400).

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

223958400 is a wasteful number, since it uses less digits than its factorization.

223958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 223958400 is about 14965.2397241073. The cubic root of 223958400 is about 607.2801961841.

The spelling of 223958400 in words is "two hundred twenty-three million, nine hundred fifty-eight thousand, four hundred".