404800 has 84 divisors (see below), whose sum is σ = 1133856. Its totient is φ = 140800.

The previous prime is 404783. The next prime is 404819. The reversal of 404800 is 8404.

404800 = T₁₀₉ + T₁₁₀ + ... + T₁₅₄.

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

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

404800 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 17589 + ... + 17611.

2⁴⁰⁴⁸⁰⁰ is an apocalyptic number.

404800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566928).

404800 is an abundant number, since it is smaller than the sum of its proper divisors (729056).

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

404800 is a wasteful number, since it uses less digits than its factorization.

404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 404800 is about 636.2389488235. The cubic root of 404800 is about 73.9741813996.

The spelling of 404800 in words is "four hundred four thousand, eight hundred".