431541441 has 24 divisors (see below), whose sum is σ = 640543176. Its totient is φ = 279797760.

The previous prime is 431541437. The next prime is 431541443. The reversal of 431541441 is 144145134.

It can be written as a sum of positive squares in 4 ways, for example, as 41873841 + 389667600 = 6471^2 + 19740^2 .

It is not a de Polignac number, because 431541441 - 2² = 431541437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (431541443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128601 + ... + 131913.

It is an arithmetic number, because the mean of its divisors is an integer number (26689299).

Almost surely, 2^431541441 is an apocalyptic number.

431541441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

431541441 is a deficient number, since it is larger than the sum of its proper divisors (209001735).

431541441 is a wasteful number, since it uses less digits than its factorization.

431541441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3710 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 431541441 is about 20773.5755468335. The cubic root of 431541441 is about 755.6850592518.

Adding to 431541441 its reverse (144145134), we get a palindrome (575686575).

The spelling of 431541441 in words is "four hundred thirty-one million, five hundred forty-one thousand, four hundred forty-one".