413931 has 16 divisors (see below), whose sum is σ = 658944. Its totient is φ = 225984.

The previous prime is 413923. The next prime is 413951. The reversal of 413931 is 139314.

It is not a de Polignac number, because 413931 - 2³ = 413923 is a prime.

It is a super-2 number, since 2×413931² = 342677745522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 413898 and 413907.

It is not an unprimeable number, because it can be changed into a prime (413911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (41184).

2⁴¹³⁹³¹ is an apocalyptic number.

413931 is a deficient number, since it is larger than the sum of its proper divisors (245013).

413931 is a wasteful number, since it uses less digits than its factorization.

413931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890.

The product of its digits is 324, while the sum is 21.

The square root of 413931 is about 643.3746964250. The cubic root of 413931 is about 74.5262583294.

The spelling of 413931 in words is "four hundred thirteen thousand, nine hundred thirty-one".