224774400 has 216 divisors, whose sum is σ = 775575360. Its totient is φ = 57221120.

The previous prime is 224774387. The next prime is 224774413. The reversal of 224774400 is 4477422.

It is an interprime number because it is at equal distance from previous prime (224774387) and next prime (224774413).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441346 + ... + 441854.

Almost surely, 2^224774400 is an apocalyptic number.

224774400 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 224774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387787680).

224774400 is an abundant number, since it is smaller than the sum of its proper divisors (550800960).

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

224774400 is a wasteful number, since it uses less digits than its factorization.

224774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 224774400 is about 14992.4781140411. The cubic root of 224774400 is about 608.0168508718.

The spelling of 224774400 in words is "two hundred twenty-four million, seven hundred seventy-four thousand, four hundred".