401433313 has 8 divisors (see below), whose sum is σ = 412557032. Its totient is φ = 390324096.

The previous prime is 401433293. The next prime is 401433317. The reversal of 401433313 is 313334104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 144408289 + 257025024 = 12017^2 + 16032^2 .

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 401433313 - 2¹³ = 401425121 is a prime.

It is a super-2 number, since 2×401433313² = 322297409572311938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401433317) 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 7 ways as a sum of consecutive naturals, for example, 76531 + ... + 81607.

It is an arithmetic number, because the mean of its divisors is an integer number (51569629).

Almost surely, 2^401433313 is an apocalyptic number.

It is an amenable number.

401433313 is a deficient number, since it is larger than the sum of its proper divisors (11123719).

401433313 is a wasteful number, since it uses less digits than its factorization.

401433313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251.

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 401433313 is about 20035.8007825991. The cubic root of 401433313 is about 737.6853123523.

Adding to 401433313 its reverse (313334104), we get a palindrome (714767417).

The spelling of 401433313 in words is "four hundred one million, four hundred thirty-three thousand, three hundred thirteen".