400004004 has 12 divisors (see below), whose sum is σ = 933342704. Its totient is φ = 133334664.

The previous prime is 400003997. The next prime is 400004009. The reversal of 400004004 is 400400004.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 33333667 = 400004004 / (4 + 0 + 0 + 0 + 0 + 4 + 0 + 0 + 4).

400004004 is a modest number, since divided by 4004 gives 400 as remainder.

It is not an unprimeable number, because it can be changed into a prime (400004009) 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, 16666822 + ... + 16666845.

Almost surely, 2^400004004 is an apocalyptic number.

It is an amenable number.

400004004 is an abundant number, since it is smaller than the sum of its proper divisors (533338700).

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

400004004 is a wasteful number, since it uses less digits than its factorization.

400004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333674 (or 33333672 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 400004004 is about 20000.1000997495. The cubic root of 400004004 is about 736.8087581969.

Adding to 400004004 its reverse (400400004), we get a palindrome (800404008).

The spelling of 400004004 in words is "four hundred million, four thousand, four".