480503808 has 144 divisors (see below), whose sum is σ = 1405404000. Its totient is φ = 158146560.

The previous prime is 480503797. The next prime is 480503831. The reversal of 480503808 is 808305084.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2414493 + ... + 2414691.

It is an arithmetic number, because the mean of its divisors is an integer number (9759750).

Almost surely, 2^480503808 is an apocalyptic number.

480503808 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 480503808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702702000).

480503808 is an abundant number, since it is smaller than the sum of its proper divisors (924900192).

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

480503808 is a wasteful number, since it uses less digits than its factorization.

480503808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 480503808 is about 21920.3970766955. The cubic root of 480503808 is about 783.2473687868.

The spelling of 480503808 in words is "four hundred eighty million, five hundred three thousand, eight hundred eight".