413865 has 24 divisors (see below), whose sum is σ = 760968. Its totient is φ = 207360.

The previous prime is 413863. The next prime is 413867. The reversal of 413865 is 568314.

It is an interprime number because it is at equal distance from previous prime (413863) and next prime (413867).

It can be written as a sum of positive squares in 4 ways, for example, as 68121 + 345744 = 261^2 + 588^2 .

It is not a de Polignac number, because 413865 - 2¹ = 413863 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (31707).

2⁴¹³⁸⁶⁵ is an apocalyptic number.

413865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413865 is a deficient number, since it is larger than the sum of its proper divisors (347103).

413865 is a wasteful number, since it uses less digits than its factorization.

413865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 566 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 413865 is about 643.3234023413. The cubic root of 413865 is about 74.5222971262.

Subtracting 413865 from its reverse (568314), we obtain a square (154449 = 393²).

The spelling of 413865 in words is "four hundred thirteen thousand, eight hundred sixty-five".