415965 has 16 divisors (see below), whose sum is σ = 726336. Its totient is φ = 201600.

The previous prime is 415963. The next prime is 415969. The reversal of 415965 is 569514.

It is not a de Polignac number, because 415965 - 2¹ = 415963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1096 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (45396).

2⁴¹⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

415965 is a deficient number, since it is larger than the sum of its proper divisors (310371).

415965 is a wasteful number, since it uses less digits than its factorization.

415965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540.

The product of its digits is 5400, while the sum is 30.

The square root of 415965 is about 644.9534866950. The cubic root of 415965 is about 74.6481295217.

It can be divided in two parts, 4159 and 65, that added together give a palindrome (4224).

The spelling of 415965 in words is "four hundred fifteen thousand, nine hundred sixty-five".