479319624 has 192 divisors, whose sum is σ = 1608647040. Its totient is φ = 125798400.

The previous prime is 479319499. The next prime is 479319629. The reversal of 479319624 is 426913974.

It is a happy number.

479319624 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 19 + 624 = 666.

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 479319624.

It is not an unprimeable number, because it can be changed into a prime (479319629) 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 47 ways as a sum of consecutive naturals, for example, 367774 + ... + 369074.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2^479319624 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 479319624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

479319624 is an abundant number, since it is smaller than the sum of its proper divisors (1129327416).

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

479319624 is a wasteful number, since it uses less digits than its factorization.

479319624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1373 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 479319624 is about 21893.3694071972. The cubic root of 479319624 is about 782.6034113621.

The spelling of 479319624 in words is "four hundred seventy-nine million, three hundred nineteen thousand, six hundred twenty-four".