416715436225 has 63 divisors (see below), whose sum is σ = 574320028089. Its totient is φ = 299941382400.

The previous prime is 416715436213. The next prime is 416715436261. The reversal of 416715436225 is 522634517614.

The square root of 416715436225 is 645535.

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 15322231089 + 401393205136 = 123783^2 + 633556^2 .

It is not a de Polignac number, because 416715436225 - 2¹⁵ = 416715403457 is a prime.

It is a Duffinian number.

Its product of digits (1209600) is a multiple of the sum of its prime factors (270).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4296035377 + ... + 4296035473.

Almost surely, 2^416715436225 is an apocalyptic number.

416715436225 is the 645535-th square number.

416715436225 is the 322768-th centered octagonal number.

It is an amenable number.

416715436225 is a deficient number, since it is larger than the sum of its proper divisors (157604591864).

416715436225 is an frugal number, since it uses more digits than its factorization.

416715436225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 113 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The spelling of 416715436225 in words is "four hundred sixteen billion, seven hundred fifteen million, four hundred thirty-six thousand, two hundred twenty-five".