415312 has 20 divisors (see below), whose sum is σ = 815796. Its totient is φ = 204800.

The previous prime is 415273. The next prime is 415319. The reversal of 415312 is 213514.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 10816 = 636^2 + 104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1488 + ... + 1744.

2⁴¹⁵³¹² is an apocalyptic number.

It is an amenable number.

415312 is a deficient number, since it is larger than the sum of its proper divisors (400484).

415312 is a wasteful number, since it uses less digits than its factorization.

415312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 415312 is about 644.4470498032. The cubic root of 415312 is about 74.6090471002.

Adding to 415312 its reverse (213514), we get a palindrome (628826).

It can be divided in two parts, 415 and 312, that added together give a palindrome (727).

The spelling of 415312 in words is "four hundred fifteen thousand, three hundred twelve".