223464198400 has 243 divisors, whose sum is σ = 585635005893. Its totient is φ = 84408883200.

The previous prime is 223464198323. The next prime is 223464198401. The reversal of 223464198400 is 4891464322.

The square root of 223464198400 is 472720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80447111424 + 143017086976 = 283632^2 + 378176^2 .

It is not an unprimeable number, because it can be changed into a prime (223464198401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 718534245 + ... + 718534555.

Almost surely, 2^223464198400 is an apocalyptic number.

223464198400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223464198400 is the 472720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223464198400

223464198400 is an abundant number, since it is smaller than the sum of its proper divisors (362170807493).

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

223464198400 is an frugal number, since it uses more digits than its factorization.

223464198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 223464198400 in words is "two hundred twenty-three billion, four hundred sixty-four million, one hundred ninety-eight thousand, four hundred".