431407 has 4 divisors (see below), whose sum is σ = 434416. Its totient is φ = 428400.

The previous prime is 431399. The next prime is 431423. The reversal of 431407 is 704134.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 431407 - 2³ = 431399 is a prime.

It is a super-2 number, since 2×431407² = 372223999298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431447) 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 3 ways as a sum of consecutive naturals, for example, 1278 + ... + 1579.

It is an arithmetic number, because the mean of its divisors is an integer number (108604).

2⁴³¹⁴⁰⁷ is an apocalyptic number.

431407 is a deficient number, since it is larger than the sum of its proper divisors (3009).

431407 is a wasteful number, since it uses less digits than its factorization.

431407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008.

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 431407 is about 656.8158037076. The cubic root of 431407 is about 75.5606576556.

It can be divided in two parts, 431 and 407, that added together give a palindrome (838).

The spelling of 431407 in words is "four hundred thirty-one thousand, four hundred seven".