479784802225 has 81 divisors (see below), whose sum is σ = 656869554601. Its totient is φ = 347551590400.

The previous prime is 479784802183. The next prime is 479784802261. The reversal of 479784802225 is 522208487974.

It is a happy number.

The square root of 479784802225 is 692665.

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

It can be written as a sum of positive squares in 40 ways, for example, as 421015406449 + 58769395776 = 648857^2 + 242424^2 .

It is not a de Polignac number, because 479784802225 - 2¹³ = 479784794033 is a prime.

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 479784802225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1707419085 + ... + 1707419365.

Almost surely, 2^479784802225 is an apocalyptic number.

479784802225 is the 692665-th square number.

479784802225 is the 346333-rd centered octagonal number.

It is an amenable number.

479784802225 is a deficient number, since it is larger than the sum of its proper divisors (177084752376).

479784802225 is an equidigital number, since it uses as much as digits as its factorization.

479784802225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 479784802225 in words is "four hundred seventy-nine billion, seven hundred eighty-four million, eight hundred two thousand, two hundred twenty-five".