407431 has 4 divisors (see below), whose sum is σ = 409864. Its totient is φ = 405000.

The previous prime is 407401. The next prime is 407437. The reversal of 407431 is 134704.

It is a happy number.

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

It is a 4-Lehmer number, since φ(407431) divides (407431-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 407431 - 2¹³ = 399239 is a prime.

It is a super-2 number, since 2×407431² = 332000039522, which contains 22 as substring.

It is a Duffinian number.

407431 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 407399 and 407408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407437) 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, 945 + ... + 1306.

It is an arithmetic number, because the mean of its divisors is an integer number (102466).

2⁴⁰⁷⁴³¹ is an apocalyptic number.

407431 is a deficient number, since it is larger than the sum of its proper divisors (2433).

407431 is a wasteful number, since it uses less digits than its factorization.

407431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432.

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

The square root of 407431 is about 638.3032194811. The cubic root of 407431 is about 74.1341006432.

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

The spelling of 407431 in words is "four hundred seven thousand, four hundred thirty-one".