417625 has 16 divisors (see below), whose sum is σ = 563472. Its totient is φ = 307200.

The previous prime is 417623. The next prime is 417631. The reversal of 417625 is 526714.

417625 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 8 ways, for example, as 85849 + 331776 = 293^2 + 576^2 .

It is not a de Polignac number, because 417625 - 2¹ = 417623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 417625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497 + ... + 1753.

It is an arithmetic number, because the mean of its divisors is an integer number (35217).

417625 is a Friedman number, since it can be written as 5*(17^4+6-2), using all its digits and the basic arithmetic operations.

2⁴¹⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

417625 is a deficient number, since it is larger than the sum of its proper divisors (145847).

417625 is a wasteful number, since it uses less digits than its factorization.

417625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 417625 is about 646.2391198310. The cubic root of 417625 is about 74.7472976581.

It can be divided in two parts, 4 and 17625, that multiplied together give a triangular number (70500 = T₃₇₅).

The spelling of 417625 in words is "four hundred seventeen thousand, six hundred twenty-five".