479795652 has 108 divisors (see below), whose sum is σ = 1425325356. Its totient is φ = 135676800.

The previous prime is 479795579. The next prime is 479795671. The reversal of 479795652 is 256597974.

479795652 is a `hidden beast` number, since 4 + 7 + 9 + 79 + 565 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 354041856 + 125753796 = 18816^2 + 11214^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 176818 + ... + 179510.

It is an arithmetic number, because the mean of its divisors is an integer number (13197457).

Almost surely, 2^479795652 is an apocalyptic number.

479795652 is a gapful number since it is divisible by the number (42) 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 479795652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712662678).

479795652 is an abundant number, since it is smaller than the sum of its proper divisors (945529704).

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

479795652 is a wasteful number, since it uses less digits than its factorization.

479795652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2806 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 479795652 is about 21904.2382200340. The cubic root of 479795652 is about 782.8624019941.

The spelling of 479795652 in words is "four hundred seventy-nine million, seven hundred ninety-five thousand, six hundred fifty-two".