400442013 has 12 divisors (see below), whose sum is σ = 579020988. Its totient is φ = 266682240.

The previous prime is 400441999. The next prime is 400442033. The reversal of 400442013 is 310244004.

It can be written as a sum of positive squares in 2 ways, for example, as 203404644 + 197037369 = 14262^2 + 14037^2 .

It is not a de Polignac number, because 400442013 - 2⁵ = 400441981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400442033) 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, 13978 + ... + 31563.

It is an arithmetic number, because the mean of its divisors is an integer number (48251749).

Almost surely, 2^400442013 is an apocalyptic number.

It is an amenable number.

400442013 is a deficient number, since it is larger than the sum of its proper divisors (178578975).

400442013 is a wasteful number, since it uses less digits than its factorization.

400442013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46524 (or 46521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400442013 is about 20011.0472739435. The cubic root of 400442013 is about 737.0775981239.

Adding to 400442013 its reverse (310244004), we get a palindrome (710686017).

The spelling of 400442013 in words is "four hundred million, four hundred forty-two thousand, thirteen".