401431001 has 2 divisors, whose sum is σ = 401431002. Its totient is φ = 401431000.

The previous prime is 401430973. The next prime is 401431061. The reversal of 401431001 is 100134104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 395055376 + 6375625 = 19876^2 + 2525^2 .

It is a cyclic number.

It is not a de Polignac number, because 401431001 - 2¹⁸ = 401168857 is a prime.

It is a super-2 number, since 2×401431001² = 322293697127724002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (401431061) 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 as a sum of consecutive naturals, namely, 200715500 + 200715501.

It is an arithmetic number, because the mean of its divisors is an integer number (200715501).

Almost surely, 2^401431001 is an apocalyptic number.

It is an amenable number.

401431001 is a deficient number, since it is larger than the sum of its proper divisors (1).

401431001 is an equidigital number, since it uses as much as digits as its factorization.

401431001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 401431001 is about 20035.7430857954. The cubic root of 401431001 is about 737.6838961506.

Adding to 401431001 its reverse (100134104), we get a palindrome (501565105).

The spelling of 401431001 in words is "four hundred one million, four hundred thirty-one thousand, one".