404400400 has 30 divisors (see below), whose sum is σ = 971572922. Its totient is φ = 161760000.

The previous prime is 404400377. The next prime is 404400419. The reversal of 404400400 is 4004404.

It can be written as a sum of positive squares in 3 ways, for example, as 45373696 + 359026704 = 6736^2 + 18948^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505101 + ... + 505900.

Almost surely, 2^404400400 is an apocalyptic number.

404400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404400400 is an abundant number, since it is smaller than the sum of its proper divisors (567172522).

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

404400400 is a wasteful number, since it uses less digits than its factorization.

404400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011019 (or 1011008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 404400400 is about 20109.7090978462. The cubic root of 404400400 is about 739.4983207890.

Adding to 404400400 its reverse (4004404), we get a palindrome (408404804).

The spelling of 404400400 in words is "four hundred four million, four hundred thousand, four hundred".