404000100 has 162 divisors, whose sum is σ = 1473222114. Its totient is φ = 92332800.

The previous prime is 404000063. The next prime is 404000111. The reversal of 404000100 is 1000404.

It can be written as a sum of positive squares in 3 ways, for example, as 11009124 + 392990976 = 3318^2 + 19824^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 39520 + ... + 48680.

Almost surely, 2^404000100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736611057).

404000100 is an abundant number, since it is smaller than the sum of its proper divisors (1069222014).

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

404000100 is a wasteful number, since it uses less digits than its factorization.

404000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195 (or 9178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 404000100 is about 20099.7537298346. The cubic root of 404000100 is about 739.2542401659.

Adding to 404000100 its reverse (1000404), we get a palindrome (405000504).

The spelling of 404000100 in words is "four hundred four million, one hundred", and thus it is an aban number.