416263684225 has 9 divisors (see below), whose sum is σ = 516170968617. Its totient is φ = 333008366640.

The previous prime is 416263684027. The next prime is 416263684229. The reversal of 416263684225 is 522486362614.

The square root of 416263684225 is 645185.

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

It can be written as a sum of positive squares in 4 ways, for example, as 36876673089 + 379387011136 = 192033^2 + 615944^2 .

It is not a de Polignac number, because 416263684225 - 2¹³ = 416263676033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416263684229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3161407 + ... + 3290443.

Almost surely, 2^416263684225 is an apocalyptic number.

416263684225 is the 645185-th square number.

416263684225 is the 322593-rd centered octagonal number.

It is an amenable number.

416263684225 is a deficient number, since it is larger than the sum of its proper divisors (99907284392).

416263684225 is an frugal number, since it uses more digits than its factorization.

416263684225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258084 (or 129042 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 49.

Multiplying 416263684225 by its sum of digits (49), we get a square (20396920527025 = 4516295²).

The spelling of 416263684225 in words is "four hundred sixteen billion, two hundred sixty-three million, six hundred eighty-four thousand, two hundred twenty-five".