400006816 has 24 divisors (see below), whose sum is σ = 859106304. Its totient is φ = 181821120.

The previous prime is 400006813. The next prime is 400006819. The reversal of 400006816 is 618600004.

It is an interprime number because it is at equal distance from previous prime (400006813) and next prime (400006819).

It is not an unprimeable number, because it can be changed into a prime (400006811) 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 3 ways as a sum of consecutive naturals, for example, 567840 + ... + 568543.

It is an arithmetic number, because the mean of its divisors is an integer number (35796096).

Almost surely, 2^400006816 is an apocalyptic number.

It is an amenable number.

400006816 is an abundant number, since it is smaller than the sum of its proper divisors (459099488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400006816 is a wasteful number, since it uses less digits than its factorization.

400006816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136404 (or 1136396 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 400006816 is about 20000.1703992741. The cubic root of 400006816 is about 736.8104847641.

The spelling of 400006816 in words is "four hundred million, six thousand, eight hundred sixteen".