415125 has 40 divisors (see below), whose sum is σ = 792792. Its totient is φ = 216000.

The previous prime is 415111. The next prime is 415133. The reversal of 415125 is 521514.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 321489 = 306^2 + 567^2 .

It is not a de Polignac number, because 415125 - 2⁴ = 415109 is a prime.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 415098 and 415107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10105 + ... + 10145.

2⁴¹⁵¹²⁵ is an apocalyptic number.

415125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415125 is a deficient number, since it is larger than the sum of its proper divisors (377667).

415125 is an equidigital number, since it uses as much as digits as its factorization.

415125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 49 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 415125 is about 644.3019478474. The cubic root of 415125 is about 74.5978474990.

Adding to 415125 its reverse (521514), we get a palindrome (936639).

It can be divided in two parts, 4 and 15125, that added together give a square (15129 = 123²).

The spelling of 415125 in words is "four hundred fifteen thousand, one hundred twenty-five".