431408 has 20 divisors (see below), whose sum is σ = 851880. Its totient is φ = 211584.

The previous prime is 431399. The next prime is 431423. The reversal of 431408 is 804134.

It is a super-3 number, since 3×431408³ = 240871733309607936, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 431408.

It is an unprimeable number.

431408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 716 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (42594).

2⁴³¹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

431408 is a deficient number, since it is larger than the sum of its proper divisors (420472).

431408 is a wasteful number, since it uses less digits than its factorization.

431408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 431408 is about 656.8165649555. The cubic root of 431408 is about 75.5607160387.

The spelling of 431408 in words is "four hundred thirty-one thousand, four hundred eight".