479785216 has 45 divisors (see below), whose sum is σ = 984298931. Its totient is φ = 233409024.

The previous prime is 479785213. The next prime is 479785247. The reversal of 479785216 is 612587974.

The square root of 479785216 is 21904.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 299151616 + 180633600 = 17296^2 + 13440^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 479785216.

It is not an unprimeable number, because it can be changed into a prime (479785211) 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 4 ways as a sum of consecutive naturals, for example, 12967150 + ... + 12967186.

Almost surely, 2^479785216 is an apocalyptic number.

479785216 is the 21904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479785216

479785216 is an abundant number, since it is smaller than the sum of its proper divisors (504513715).

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

479785216 is an frugal number, since it uses more digits than its factorization.

479785216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 39 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The cubic root of 479785216 is about 782.8567259587.

Multiplying 479785216 by its sum of digits (49), we get a square (23509475584 = 153328²).

The spelling of 479785216 in words is "four hundred seventy-nine million, seven hundred eighty-five thousand, two hundred sixteen".