402431441 has 8 divisors (see below), whose sum is σ = 414390984. Its totient is φ = 390574080.

The previous prime is 402431431. The next prime is 402431443. The reversal of 402431441 is 144134204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36857041 + 365574400 = 6071^2 + 19120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 402431441 - 2¹⁰ = 402430417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402431443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17516 + ... + 33341.

It is an arithmetic number, because the mean of its divisors is an integer number (51798873).

Almost surely, 2^402431441 is an apocalyptic number.

402431441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

402431441 is a deficient number, since it is larger than the sum of its proper divisors (11959543).

402431441 is a wasteful number, since it uses less digits than its factorization.

402431441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51091.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 402431441 is about 20060.6939311680. The cubic root of 402431441 is about 738.2962024899.

Adding to 402431441 its reverse (144134204), we get a palindrome (546565645).

The spelling of 402431441 in words is "four hundred two million, four hundred thirty-one thousand, four hundred forty-one".