431414001 has 12 divisors (see below), whose sum is σ = 623333620. Its totient is φ = 287526240.

The previous prime is 431413993. The next prime is 431414003. The reversal of 431414001 is 100414134.

It can be written as a sum of positive squares in 2 ways, for example, as 168974001 + 262440000 = 12999^2 + 16200^2 .

It is not a de Polignac number, because 431414001 - 2³ = 431413993 is a prime.

It is a super-2 number, since 2×431414001² = 372236080517656002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431414003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57495 + ... + 64563.

Almost surely, 2^431414001 is an apocalyptic number.

It is an amenable number.

431414001 is a deficient number, since it is larger than the sum of its proper divisors (191919619).

431414001 is a wasteful number, since it uses less digits than its factorization.

431414001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13856 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 431414001 is about 20770.5079620119. The cubic root of 431414001 is about 755.6106639359.

Adding to 431414001 its reverse (100414134), we get a palindrome (531828135).

The spelling of 431414001 in words is "four hundred thirty-one million, four hundred fourteen thousand, one".