224881360 has 80 divisors (see below), whose sum is σ = 572677632. Its totient is φ = 81446400.

The previous prime is 224881333. The next prime is 224881361. The reversal of 224881360 is 63188422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224881361) 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, 370177 + ... + 370783.

Almost surely, 2^224881360 is an apocalyptic number.

224881360 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 224881360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286338816).

224881360 is an abundant number, since it is smaller than the sum of its proper divisors (347796272).

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

224881360 is a wasteful number, since it uses less digits than its factorization.

224881360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 224881360 is about 14996.0448118829. The cubic root of 224881360 is about 608.1132781779.

The spelling of 224881360 in words is "two hundred twenty-four million, eight hundred eighty-one thousand, three hundred sixty".