417800640625 has 21 divisors (see below), whose sum is σ = 522345130303. Its totient is φ = 334175875000.

The previous prime is 417800640613. The next prime is 417800640637. The reversal of 417800640625 is 526046008714.

The square root of 417800640625 is 646375.

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

It is an interprime number because it is at equal distance from previous prime (417800640613) and next prime (417800640637).

It can be written as a sum of positive squares in 3 ways, for example, as 366033470049 + 51767170576 = 605007^2 + 227524^2 .

It is not a de Polignac number, because 417800640625 - 2¹⁹ = 417800116337 is a prime.

It is a super-3 number, since 3×417800640625³ (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 20 ways as a sum of consecutive naturals, for example, 80794290 + ... + 80799460.

Almost surely, 2^417800640625 is an apocalyptic number.

417800640625 is the 646375-th square number.

417800640625 is the 323188-th centered octagonal number.

It is an amenable number.

417800640625 is a deficient number, since it is larger than the sum of its proper divisors (104544489678).

417800640625 is an frugal number, since it uses more digits than its factorization.

417800640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 417800640625 in words is "four hundred seventeen billion, eight hundred million, six hundred forty thousand, six hundred twenty-five".