404214080 has 56 divisors (see below), whose sum is σ = 986043240. Its totient is φ = 157736960.

The previous prime is 404214073. The next prime is 404214119. The reversal of 404214080 is 80412404.

404214080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21307456 + 382906624 = 4616^2 + 19568^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2285 + ... + 28524.

It is an arithmetic number, because the mean of its divisors is an integer number (17607915).

Almost surely, 2^404214080 is an apocalyptic number.

404214080 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 404214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493021620).

404214080 is an abundant number, since it is smaller than the sum of its proper divisors (581829160).

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

404214080 is a wasteful number, since it uses less digits than its factorization.

404214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30867 (or 30857 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 404214080 is about 20105.0759759818. The cubic root of 404214080 is about 739.3847332877.

Adding to 404214080 its reverse (80412404), we get a palindrome (484626484).

The spelling of 404214080 in words is "four hundred four million, two hundred fourteen thousand, eighty".