431413 has 8 divisors (see below), whose sum is σ = 450432. Its totient is φ = 412896.

The previous prime is 431399. The next prime is 431423. The reversal of 431413 is 314134.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 431413 - 2⁵ = 431381 is a prime.

It is a super-2 number, since 2×431413² = 372234353138, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

431413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3081 + ... + 3217.

It is an arithmetic number, because the mean of its divisors is an integer number (56304).

2⁴³¹⁴¹³ is an apocalyptic number.

It is an amenable number.

431413 is a deficient number, since it is larger than the sum of its proper divisors (19019).

431413 is a wasteful number, since it uses less digits than its factorization.

431413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its digits is 144, while the sum is 16.

The square root of 431413 is about 656.8203711823. The cubic root of 431413 is about 75.5610079527.

Adding to 431413 its reverse (314134), we get a palindrome (745547).

The spelling of 431413 in words is "four hundred thirty-one thousand, four hundred thirteen".