404100 has 54 divisors (see below), whose sum is σ = 1269450. Its totient is φ = 107520.

The previous prime is 404099. The next prime is 404113. The reversal of 404100 is 1404.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 367236 = 192^2 + 606^2 .

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 404100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 676 + ... + 1124.

2⁴⁰⁴¹⁰⁰ 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 404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634725).

404100 is an abundant number, since it is smaller than the sum of its proper divisors (865350).

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

404100 is a wasteful number, since it uses less digits than its factorization.

404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

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

The square root of 404100 is about 635.6886030125. The cubic root of 404100 is about 73.9315168709.

Adding to 404100 its reverse (1404), we get a palindrome (405504).

The spelling of 404100 in words is "four hundred four thousand, one hundred", and thus it is an iban number.