404402000 has 40 divisors (see below), whose sum is σ = 977848872. Its totient is φ = 161760000.

The previous prime is 404401997. The next prime is 404402003. The reversal of 404402000 is 204404.

It is an interprime number because it is at equal distance from previous prime (404401997) and next prime (404402003).

It can be written as a sum of positive squares in 4 ways, for example, as 86564416 + 317837584 = 9304^2 + 17828^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404402003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99101 + ... + 103100.

Almost surely, 2^404402000 is an apocalyptic number.

404402000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404402000 is an abundant number, since it is smaller than the sum of its proper divisors (573446872).

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

404402000 is a wasteful number, since it uses less digits than its factorization.

404402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202224 (or 202208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 404402000 is about 20109.7488795857. The cubic root of 404402000 is about 739.4992960565.

Adding to 404402000 its reverse (204404), we get a palindrome (404606404).

The spelling of 404402000 in words is "four hundred four million, four hundred two thousand".