431166407 has 8 divisors (see below), whose sum is σ = 492987936. Its totient is φ = 369401472.

The previous prime is 431166401. The next prime is 431166443. The reversal of 431166407 is 704661134.

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 431166407 - 2¹⁴ = 431150023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431166401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3683 + ... + 29595.

It is an arithmetic number, because the mean of its divisors is an integer number (61623492).

Almost surely, 2^431166407 is an apocalyptic number.

431166407 is a deficient number, since it is larger than the sum of its proper divisors (61821529).

431166407 is a wasteful number, since it uses less digits than its factorization.

431166407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28297.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 431166407 is about 20764.5468768283. The cubic root of 431166407 is about 755.4660847399.

The spelling of 431166407 in words is "four hundred thirty-one million, one hundred sixty-six thousand, four hundred seven".