414217625 has 8 divisors (see below), whose sum is σ = 516943752. Its totient is φ = 331374000.

The previous prime is 414217607. The next prime is 414217663. The reversal of 414217625 is 526712414.

It can be written as a sum of positive squares in 4 ways, for example, as 4721929 + 409495696 = 2173^2 + 20236^2 .

It is not a de Polignac number, because 414217625 - 2⁶ = 414217561 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414217591 and 414217600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1656746 + ... + 1656995.

It is an arithmetic number, because the mean of its divisors is an integer number (64617969).

Almost surely, 2^414217625 is an apocalyptic number.

It is an amenable number.

414217625 is a deficient number, since it is larger than the sum of its proper divisors (102726127).

414217625 is an equidigital number, since it uses as much as digits as its factorization.

414217625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313756 (or 3313746 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 414217625 is about 20352.3370893861. The cubic root of 414217625 is about 745.4345617176.

The spelling of 414217625 in words is "four hundred fourteen million, two hundred seventeen thousand, six hundred twenty-five".