480848088 has 64 divisors (see below), whose sum is σ = 1377077760. Its totient is φ = 137062656.

The previous prime is 480848063. The next prime is 480848089. The reversal of 480848088 is 880848084.

It is a super-3 number, since 3×480848088³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480848089) 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, 73645 + ... + 79907.

It is an arithmetic number, because the mean of its divisors is an integer number (21516840).

Almost surely, 2^480848088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480848088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688538880).

480848088 is an abundant number, since it is smaller than the sum of its proper divisors (896229672).

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

480848088 is a wasteful number, since it uses less digits than its factorization.

480848088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The square root of 480848088 is about 21928.2486304766. The cubic root of 480848088 is about 783.4343891757.

The spelling of 480848088 in words is "four hundred eighty million, eight hundred forty-eight thousand, eighty-eight".