417725 has 36 divisors (see below), whose sum is σ = 678528. Its totient is φ = 252000.

The previous prime is 417721. The next prime is 417727. The reversal of 417725 is 527714.

It is not a de Polignac number, because 417725 - 2² = 417721 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 417694 and 417703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13460 + ... + 13490.

It is an arithmetic number, because the mean of its divisors is an integer number (18848).

2⁴¹⁷⁷²⁵ is an apocalyptic number.

It is an amenable number.

417725 is a deficient number, since it is larger than the sum of its proper divisors (260803).

417725 is a wasteful number, since it uses less digits than its factorization.

417725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its digits is 1960, while the sum is 26.

The square root of 417725 is about 646.3164859417. The cubic root of 417725 is about 74.7532632439.

The spelling of 417725 in words is "four hundred seventeen thousand, seven hundred twenty-five".