224946480 has 160 divisors (see below), whose sum is σ = 767450880. Its totient is φ = 54051840.

The previous prime is 224946479. The next prime is 224946497. The reversal of 224946480 is 84649422.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366654 + ... + 367266.

It is an arithmetic number, because the mean of its divisors is an integer number (4796568).

Almost surely, 2^224946480 is an apocalyptic number.

224946480 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 224946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383725440).

224946480 is an abundant number, since it is smaller than the sum of its proper divisors (542504400).

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

224946480 is a wasteful number, since it uses less digits than its factorization.

224946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 224946480 is about 14998.2158938988. The cubic root of 224946480 is about 608.1719706293.

The spelling of 224946480 in words is "two hundred twenty-four million, nine hundred forty-six thousand, four hundred eighty".