431404441 has 12 divisors (see below), whose sum is σ = 467959548. Its totient is φ = 397522944.

The previous prime is 431404409. The next prime is 431404469. The reversal of 431404441 is 144404134.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 158659216 + 272745225 = 12596^2 + 16515^2 .

It is not a de Polignac number, because 431404441 - 2⁵ = 431404409 is a prime.

It is a super-2 number, since 2×431404441² = 372219583429044962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431404241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111841 + ... + 115633.

It is an arithmetic number, because the mean of its divisors is an integer number (38996629).

Almost surely, 2^431404441 is an apocalyptic number.

It is an amenable number.

431404441 is a deficient number, since it is larger than the sum of its proper divisors (36555107).

431404441 is a wasteful number, since it uses less digits than its factorization.

431404441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 431404441 is about 20770.2778267408. The cubic root of 431404441 is about 755.6050825289.

Adding to 431404441 its reverse (144404134), we get a palindrome (575808575).

The spelling of 431404441 in words is "four hundred thirty-one million, four hundred four thousand, four hundred forty-one".