431166401 has 2 divisors, whose sum is σ = 431166402. Its totient is φ = 431166400.

The previous prime is 431166371. The next prime is 431166443. The reversal of 431166401 is 104661134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 351600001 + 79566400 = 18751^2 + 8920^2 .

It is a cyclic number.

It is not a de Polignac number, because 431166401 - 2¹⁰ = 431165377 is a prime.

It is not a weakly prime, because it can be changed into another prime (431165401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215583200 + 215583201.

It is an arithmetic number, because the mean of its divisors is an integer number (215583201).

Almost surely, 2^431166401 is an apocalyptic number.

It is an amenable number.

431166401 is a deficient number, since it is larger than the sum of its proper divisors (1).

431166401 is an equidigital number, since it uses as much as digits as its factorization.

431166401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 431166401 is about 20764.5467323513. The cubic root of 431166401 is about 755.4660812356.

The spelling of 431166401 in words is "four hundred thirty-one million, one hundred sixty-six thousand, four hundred one".