400420013 has 6 divisors (see below), whose sum is σ = 465794766. Its totient is φ = 343217112.

The previous prime is 400419997. The next prime is 400420051. The reversal of 400420013 is 310024004.

It can be written as a sum of positive squares in only one way, i.e., 318372649 + 82047364 = 17843^2 + 9058^2 .

It is not a de Polignac number, because 400420013 - 2⁴ = 400419997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400420013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400420513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4085870 + ... + 4085967.

It is an arithmetic number, because the mean of its divisors is an integer number (77632461).

Almost surely, 2^400420013 is an apocalyptic number.

It is an amenable number.

400420013 is a deficient number, since it is larger than the sum of its proper divisors (65374753).

400420013 is an equidigital number, since it uses as much as digits as its factorization.

400420013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8171851 (or 8171844 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 400420013 is about 20010.4975700256. The cubic root of 400420013 is about 737.0640997033.

Adding to 400420013 its reverse (310024004), we get a palindrome (710444017).

The spelling of 400420013 in words is "four hundred million, four hundred twenty thousand, thirteen".