480917808 has 120 divisors (see below), whose sum is σ = 1548139008. Its totient is φ = 136515456.

The previous prime is 480917807. The next prime is 480917809. The reversal of 480917808 is 808719084.

480917808 is a `hidden beast` number, since 480 + 91 + 7 + 80 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (480917807) and next prime (480917809).

It is a super-3 number, since 3×480917808³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480917803) 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 23 ways as a sum of consecutive naturals, for example, 162841 + ... + 165767.

Almost surely, 2^480917808 is an apocalyptic number.

480917808 is a gapful number since it is divisible by the number (48) 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 480917808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774069504).

480917808 is an abundant number, since it is smaller than the sum of its proper divisors (1067221200).

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

480917808 is a wasteful number, since it uses less digits than its factorization.

480917808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 480917808 is about 21929.8383030974. The cubic root of 480917808 is about 783.4722517268.

The spelling of 480917808 in words is "four hundred eighty million, nine hundred seventeen thousand, eight hundred eight".