224505456 has 120 divisors (see below), whose sum is σ = 687772944. Its totient is φ = 62899200.

The previous prime is 224505427. The next prime is 224505467. The reversal of 224505456 is 654505422.

224505456 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123756 + ... + 125556.

Almost surely, 2^224505456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224505456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343886472).

224505456 is an abundant number, since it is smaller than the sum of its proper divisors (463267488).

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

224505456 is a wasteful number, since it uses less digits than its factorization.

224505456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 224505456 is about 14983.5061317437. The cubic root of 224505456 is about 607.7742554133.

The spelling of 224505456 in words is "two hundred twenty-four million, five hundred five thousand, four hundred fifty-six".