414716680225 has 45 divisors (see below), whose sum is σ = 537635398377. Its totient is φ = 317335200480.

The previous prime is 414716680211. The next prime is 414716680321. The reversal of 414716680225 is 522086617414.

The square root of 414716680225 is 643985.

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 39369305889 + 375347374336 = 198417^2 + 612656^2 .

It is not a de Polignac number, because 414716680225 - 2²³ = 414708291617 is a prime.

It is a super-3 number, since 3×414716680225³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7029096246 + ... + 7029096304.

Almost surely, 2^414716680225 is an apocalyptic number.

414716680225 is the 643985-th square number.

414716680225 is the 321993-rd centered octagonal number.

It is an amenable number.

414716680225 is a deficient number, since it is larger than the sum of its proper divisors (122918718152).

414716680225 is an frugal number, since it uses more digits than its factorization.

414716680225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 414716680225 in words is "four hundred fourteen billion, seven hundred sixteen million, six hundred eighty thousand, two hundred twenty-five".