431200441 has 6 divisors (see below), whose sum is σ = 501600570. Its totient is φ = 369600336.

The previous prime is 431200423. The next prime is 431200447. The reversal of 431200441 is 144002134.

It can be written as a sum of positive squares in only one way, i.e., 229674025 + 201526416 = 15155^2 + 14196^2 .

It is not a de Polignac number, because 431200441 - 2⁷ = 431200313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431200447) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4399956 + ... + 4400053.

It is an arithmetic number, because the mean of its divisors is an integer number (83600095).

Almost surely, 2^431200441 is an apocalyptic number.

It is an amenable number.

431200441 is a deficient number, since it is larger than the sum of its proper divisors (70400129).

431200441 is an equidigital number, since it uses as much as digits as its factorization.

431200441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8800023 (or 8800016 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 431200441 is about 20765.3663825130. The cubic root of 431200441 is about 755.4859617184.

Adding to 431200441 its reverse (144002134), we get a palindrome (575202575).

The spelling of 431200441 in words is "four hundred thirty-one million, two hundred thousand, four hundred forty-one".