417616080 has 160 divisors (see below), whose sum is σ = 1486000128. Its totient is φ = 95040000.

The previous prime is 417616063. The next prime is 417616081. The reversal of 417616080 is 80616714.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417616081) 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 31 ways as a sum of consecutive naturals, for example, 555705 + ... + 556455.

Almost surely, 2^417616080 is an apocalyptic number.

417616080 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 417616080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743000064).

417616080 is an abundant number, since it is smaller than the sum of its proper divisors (1068384048).

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

417616080 is a wasteful number, since it uses less digits than its factorization.

417616080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 417616080 is about 20435.6570728714. The cubic root of 417616080 is about 747.4676548160.

The spelling of 417616080 in words is "four hundred seventeen million, six hundred sixteen thousand, eighty".