404000 has 48 divisors (see below), whose sum is σ = 1002456. Its totient is φ = 160000.

The previous prime is 403993. The next prime is 404009. The reversal of 404000 is 404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 169744 = 484^2 + 412^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (404009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3950 + ... + 4050.

2⁴⁰⁴⁰⁰⁰ is an apocalyptic number.

404000 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 404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501228).

404000 is an abundant number, since it is smaller than the sum of its proper divisors (598456).

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

404000 is a wasteful number, since it uses less digits than its factorization.

404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 404000 is about 635.6099432828. The cubic root of 404000 is about 73.9254179171.

Adding to 404000 its reverse (404), we get a palindrome (404404).

404000 divided by its reverse (404) gives a cube (1000 = 10³).

It can be divided in two parts, 40 and 4000, that multiplied together give a 4-th power (160000 = 20⁴).

The spelling of 404000 in words is "four hundred four thousand", and thus it is an iban number.