416044350225 has 81 divisors (see below), whose sum is σ = 866985103803. Its totient is φ = 190160742240.

The previous prime is 416044350199. The next prime is 416044350233. The reversal of 416044350225 is 522053440614.

The square root of 416044350225 is 645015.

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

416044350225 is a `hidden beast` number, since 4 + 1 + 604 + 43 + 5 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149775966081 + 266268384144 = 387009^2 + 516012^2 .

It is not a de Polignac number, because 416044350225 - 2¹³ = 416044342033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416044350225.

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, 67723504 + ... + 67729646.

Almost surely, 2^416044350225 is an apocalyptic number.

416044350225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

416044350225 is the 645015-th square number.

416044350225 is the 322508-th centered octagonal number.

It is an amenable number.

416044350225 is an abundant number, since it is smaller than the sum of its proper divisors (450940753578).

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

416044350225 is an frugal number, since it uses more digits than its factorization.

416044350225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 416044350225 by its sum of digits (36), we get a square (14977596608100 = 3870090²).

Adding to 416044350225 its reverse (522053440614), we get a palindrome (938097790839).

The spelling of 416044350225 in words is "four hundred sixteen billion, forty-four million, three hundred fifty thousand, two hundred twenty-five".