224468400 has 120 divisors (see below), whose sum is σ = 774412240. Its totient is φ = 55249920.

The previous prime is 224468393. The next prime is 224468411. The reversal of 224468400 is 4864422.

224468400 = 2633² + 2634² + ... + 2664².

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 8406 + ... + 22794.

Almost surely, 2^224468400 is an apocalyptic number.

224468400 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 224468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387206120).

224468400 is an abundant number, since it is smaller than the sum of its proper divisors (549943840).

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

224468400 is a wasteful number, since it uses less digits than its factorization.

224468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14423 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 224468400 is about 14982.2695210038. The cubic root of 224468400 is about 607.7408146194.

The spelling of 224468400 in words is "two hundred twenty-four million, four hundred sixty-eight thousand, four hundred".