417494080 has 28 divisors (see below), whose sum is σ = 994158540. Its totient is φ = 166997504.

The previous prime is 417494029. The next prime is 417494083. The reversal of 417494080 is 80494714.

It can be written as a sum of positive squares in 2 ways, for example, as 56190016 + 361304064 = 7496^2 + 19008^2 .

It is not an unprimeable number, because it can be changed into a prime (417494083) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 652015 + ... + 652654.

Almost surely, 2^417494080 is an apocalyptic number.

417494080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417494080 is an abundant number, since it is smaller than the sum of its proper divisors (576664460).

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

417494080 is a wasteful number, since it uses less digits than its factorization.

417494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304686 (or 1304676 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 417494080 is about 20432.6718761889. The cubic root of 417494080 is about 747.3948607358.

The spelling of 417494080 in words is "four hundred seventeen million, four hundred ninety-four thousand, eighty".