414072945225 has 27 divisors (see below), whose sum is σ = 741667941703. Its totient is φ = 220833756240.

The previous prime is 414072945217. The next prime is 414072945227. The reversal of 414072945225 is 522549270414.

The square root of 414072945225 is 643485.

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

414072945225 is a `hidden beast` number, since 414 + 0 + 7 + 2 + 9 + 4 + 5 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149066260281 + 265006684944 = 386091^2 + 514788^2 .

It is not a de Polignac number, because 414072945225 - 2³ = 414072945217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414072945227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9630826 + ... + 9673724.

Almost surely, 2^414072945225 is an apocalyptic number.

414072945225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

414072945225 is the 643485-th square number.

414072945225 is the 321743-rd centered octagonal number.

It is an amenable number.

414072945225 is a deficient number, since it is larger than the sum of its proper divisors (327594996478).

414072945225 is an frugal number, since it uses more digits than its factorization.

414072945225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85814 (or 42907 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 414072945225 in words is "four hundred fourteen billion, seventy-two million, nine hundred forty-five thousand, two hundred twenty-five".