223808400 has 480 divisors, whose sum is σ = 896728320. Its totient is φ = 52715520.

The previous prime is 223808393. The next prime is 223808413. The reversal of 223808400 is 4808322.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4222774 + ... + 4222826.

It is an arithmetic number, because the mean of its divisors is an integer number (1868184).

Almost surely, 2^223808400 is an apocalyptic number.

223808400 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 223808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448364160).

223808400 is an abundant number, since it is smaller than the sum of its proper divisors (672919920).

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

223808400 is a wasteful number, since it uses less digits than its factorization.

223808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 223808400 is about 14960.2272710009. The cubic root of 223808400 is about 607.1445871099.

The spelling of 223808400 in words is "two hundred twenty-three million, eight hundred eight thousand, four hundred".