415725 has 24 divisors (see below), whose sum is σ = 720192. Its totient is φ = 211200.

The previous prime is 415721. The next prime is 415729. The reversal of 415725 is 527514.

It is an interprime number because it is at equal distance from previous prime (415721) and next prime (415729).

It is not a de Polignac number, because 415725 - 2² = 415721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415695 and 415704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1605 + ... + 1845.

It is an arithmetic number, because the mean of its divisors is an integer number (30008).

2⁴¹⁵⁷²⁵ is an apocalyptic number.

415725 is the 345-th nonagonal number.

It is an amenable number.

415725 is a deficient number, since it is larger than the sum of its proper divisors (304467).

415725 is a wasteful number, since it uses less digits than its factorization.

415725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 272 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 415725 is about 644.7673999203. The cubic root of 415725 is about 74.6337701423.

The spelling of 415725 in words is "four hundred fifteen thousand, seven hundred twenty-five".