224564400 has 300 divisors, whose sum is σ = 837223200. Its totient is φ = 57576960.

The previous prime is 224564393. The next prime is 224564413. The reversal of 224564400 is 4465422.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 939481 + ... + 939719.

It is an arithmetic number, because the mean of its divisors is an integer number (2790744).

Almost surely, 2^224564400 is an apocalyptic number.

224564400 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 224564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418611600).

224564400 is an abundant number, since it is smaller than the sum of its proper divisors (612658800).

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

224564400 is a wasteful number, since it uses less digits than its factorization.

224564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 224564400 is about 14985.4729655090. The cubic root of 224564400 is about 607.8274412194.

The spelling of 224564400 in words is "two hundred twenty-four million, five hundred sixty-four thousand, four hundred".