224428400 has 60 divisors (see below), whose sum is σ = 616223952. Its totient is φ = 76945920.

The previous prime is 224428397. The next prime is 224428403. The reversal of 224428400 is 4824422.

It is an interprime number because it is at equal distance from previous prime (224428397) and next prime (224428403).

It is a self number, because there is not a number n which added to its sum of digits gives 224428400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224428403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37277 + ... + 42876.

Almost surely, 2^224428400 is an apocalyptic number.

224428400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224428400 is an abundant number, since it is smaller than the sum of its proper divisors (391795552).

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

224428400 is a wasteful number, since it uses less digits than its factorization.

224428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80178 (or 80167 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 224428400 is about 14980.9345502876. The cubic root of 224428400 is about 607.7047129132.

The spelling of 224428400 in words is "two hundred twenty-four million, four hundred twenty-eight thousand, four hundred".