400306013 has 6 divisors (see below), whose sum is σ = 402449502. Its totient is φ = 398173880.

The previous prime is 400306009. The next prime is 400306019. The reversal of 400306013 is 310603004.

It can be written as a sum of positive squares in only one way, i.e., 350363524 + 49942489 = 18718^2 + 7067^2 .

It is not a de Polignac number, because 400306013 - 2² = 400306009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400305982 and 400306000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400306019) 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 5 ways as a sum of consecutive naturals, for example, 30995 + ... + 41967.

It is an arithmetic number, because the mean of its divisors is an integer number (67074917).

Almost surely, 2^400306013 is an apocalyptic number.

It is an amenable number.

400306013 is a deficient number, since it is larger than the sum of its proper divisors (2143489).

400306013 is an equidigital number, since it uses as much as digits as its factorization.

400306013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355 (or 11164 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 400306013 is about 20007.6488623726. The cubic root of 400306013 is about 736.9941454220.

Adding to 400306013 its reverse (310603004), we get a palindrome (710909017).

The spelling of 400306013 in words is "four hundred million, three hundred six thousand, thirteen".