410431 has 8 divisors (see below), whose sum is σ = 496800. Its totient is φ = 331008.

The previous prime is 410413. The next prime is 410453. The reversal of 410431 is 134014.

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 410431 - 2¹³ = 402239 is a prime.

It is a super-2 number, since 2×410431² = 336907211522, 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 (410401) 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 7 ways as a sum of consecutive naturals, for example, 1606 + ... + 1843.

It is an arithmetic number, because the mean of its divisors is an integer number (62100).

2⁴¹⁰⁴³¹ is an apocalyptic number.

410431 is a deficient number, since it is larger than the sum of its proper divisors (86369).

410431 is a wasteful number, since it uses less digits than its factorization.

410431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 410431 is about 640.6488897985. The cubic root of 410431 is about 74.3156108531.

Adding to 410431 its reverse (134014), we get a palindrome (544445).

It can be divided in two parts, 410 and 431, that added together give a square (841 = 29²).

The spelling of 410431 in words is "four hundred ten thousand, four hundred thirty-one".