488484084 has 48 divisors (see below), whose sum is σ = 1254456000. Its totient is φ = 146711040.

The previous prime is 488484083. The next prime is 488484089. The reversal of 488484084 is 480484884.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488484083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459 + ... + 31290.

It is an arithmetic number, because the mean of its divisors is an integer number (26134500).

Almost surely, 2^488484084 is an apocalyptic number.

488484084 is a gapful number since it is divisible by the number (44) 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 488484084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627228000).

488484084 is an abundant number, since it is smaller than the sum of its proper divisors (765971916).

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

488484084 is a wasteful number, since it uses less digits than its factorization.

488484084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32880 (or 32878 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 488484084 is about 22101.6760450424. The cubic root of 488484084 is about 787.5596778155.

The spelling of 488484084 in words is "four hundred eighty-eight million, four hundred eighty-four thousand, eighty-four".