404417080 has 64 divisors (see below), whose sum is σ = 976782240. Its totient is φ = 150147072.

The previous prime is 404417047. The next prime is 404417081. The reversal of 404417080 is 80714404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404417081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45567 + ... + 53713.

Almost surely, 2^404417080 is an apocalyptic number.

404417080 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 404417080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488391120).

404417080 is an abundant number, since it is smaller than the sum of its proper divisors (572365160).

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

404417080 is a wasteful number, since it uses less digits than its factorization.

404417080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 404417080 is about 20110.1238186143. The cubic root of 404417080 is about 739.5084878267.

The spelling of 404417080 in words is "four hundred four million, four hundred seventeen thousand, eighty".