431406 has 20 divisors (see below), whose sum is σ = 967032. Its totient is φ = 143748.

The previous prime is 431399. The next prime is 431423. The reversal of 431406 is 604134.

It is a super-2 number, since 2×431406² = 372222273672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431406.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1170 + ... + 1493.

2⁴³¹⁴⁰⁶ is an apocalyptic number.

431406 is an abundant number, since it is smaller than the sum of its proper divisors (535626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431406 is a wasteful number, since it uses less digits than its factorization.

431406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 431406 is about 656.8150424587. The cubic root of 431406 is about 75.5605992724.

It can be divided in two parts, 43140 and 6, that multiplied together give a triangular number (258840 = T₇₁₉).

The spelling of 431406 in words is "four hundred thirty-one thousand, four hundred six".