224729484 has 96 divisors (see below), whose sum is σ = 620928000. Its totient is φ = 63221760.

The previous prime is 224729467. The next prime is 224729489. The reversal of 224729484 is 484927422.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (224729489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291852 + ... + 292620.

It is an arithmetic number, because the mean of its divisors is an integer number (6468000).

Almost surely, 2^224729484 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 224729484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310464000).

224729484 is an abundant number, since it is smaller than the sum of its proper divisors (396198516).

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

224729484 is a wasteful number, since it uses less digits than its factorization.

224729484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 224729484 is about 14990.9800880396. The cubic root of 224729484 is about 607.9763487741.

The spelling of 224729484 in words is "two hundred twenty-four million, seven hundred twenty-nine thousand, four hundred eighty-four".