404100000 has 216 divisors, whose sum is σ = 1439556300. Its totient is φ = 107520000.

The previous prime is 404099989. The next prime is 404100001. The reversal of 404100000 is 1404.

It can be written as a sum of positive squares in 6 ways, for example, as 34999056 + 369100944 = 5916^2 + 19212^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404100001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899776 + ... + 900224.

Almost surely, 2^404100000 is an apocalyptic number.

404100000 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 404100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719778150).

404100000 is an abundant number, since it is smaller than the sum of its proper divisors (1035456300).

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

404100000 is an equidigital number, since it uses as much as digits as its factorization.

404100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 459 counting only the distinct ones).

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

The square root of 404100000 is about 20102.2386813011. The cubic root of 404100000 is about 739.3151687087.

Adding to 404100000 its reverse (1404), we get a palindrome (404101404).

The spelling of 404100000 in words is "four hundred four million, one hundred thousand".