224674560 has 360 divisors, whose sum is σ = 881462736. Its totient is φ = 54190080.

The previous prime is 224674559. The next prime is 224674589. The reversal of 224674560 is 65476422.

224674560 is a `hidden beast` number, since 2 + 24 + 6 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×224674560² = 100957315822387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140382 + ... + 1140578.

Almost surely, 2^224674560 is an apocalyptic number.

224674560 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 224674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440731368).

224674560 is an abundant number, since it is smaller than the sum of its proper divisors (656788176).

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

224674560 is a wasteful number, since it uses less digits than its factorization.

224674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 224674560 is about 14989.1480745238. The cubic root of 224674560 is about 607.9268148291.

The spelling of 224674560 in words is "two hundred twenty-four million, six hundred seventy-four thousand, five hundred sixty".