224904560 has 80 divisors (see below), whose sum is σ = 562946112. Its totient is φ = 83251200.

The previous prime is 224904523. The next prime is 224904569. The reversal of 224904560 is 65409422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224904560² = 101164122217587200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224904569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81605 + ... + 84315.

Almost surely, 2^224904560 is an apocalyptic number.

224904560 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 224904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281473056).

224904560 is an abundant number, since it is smaller than the sum of its proper divisors (338041552).

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

224904560 is a wasteful number, since it uses less digits than its factorization.

224904560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 224904560 is about 14996.8183292324. The cubic root of 224904560 is about 608.1341895641.

The spelling of 224904560 in words is "two hundred twenty-four million, nine hundred four thousand, five hundred sixty".