479269224 has 320 divisors, whose sum is σ = 1658764800. Its totient is φ = 126251136.

The previous prime is 479269223. The next prime is 479269237. The reversal of 479269224 is 422962974.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 479269224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479269223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5774287 + ... + 5774369.

It is an arithmetic number, because the mean of its divisors is an integer number (5183640).

Almost surely, 2^479269224 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 479269224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829382400).

479269224 is an abundant number, since it is smaller than the sum of its proper divisors (1179495576).

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

479269224 is a wasteful number, since it uses less digits than its factorization.

479269224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 479269224 is about 21892.2183435119. The cubic root of 479269224 is about 782.5759804005.

The spelling of 479269224 in words is "four hundred seventy-nine million, two hundred sixty-nine thousand, two hundred twenty-four".