415325 has 12 divisors (see below), whose sum is σ = 530100. Its totient is φ = 322560.

The previous prime is 415319. The next prime is 415343. The reversal of 415325 is 523514.

It can be written as a sum of positive squares in 6 ways, for example, as 8281 + 407044 = 91^2 + 638^2 .

It is not a de Polignac number, because 415325 - 2⁸ = 415069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415297 and 415306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (44175).

2⁴¹⁵³²⁵ is an apocalyptic number.

It is an amenable number.

415325 is a deficient number, since it is larger than the sum of its proper divisors (114775).

415325 is a wasteful number, since it uses less digits than its factorization.

415325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 415325 is about 644.4571358904. The cubic root of 415325 is about 74.6098255572.

Adding to 415325 its reverse (523514), we get a palindrome (938839).

The spelling of 415325 in words is "four hundred fifteen thousand, three hundred twenty-five".