488480084 has 24 divisors (see below), whose sum is σ = 868281960. Its totient is φ = 240413184.

The previous prime is 488480053. The next prime is 488480087. The reversal of 488480084 is 480084884.

It can be written as a sum of positive squares in 4 ways, for example, as 60403984 + 428076100 = 7772^2 + 20690^2 .

It is a super-2 number, since 2×488480084² = 477225584929294112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488480087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177632 + ... + 180360.

It is an arithmetic number, because the mean of its divisors is an integer number (36178415).

Almost surely, 2^488480084 is an apocalyptic number.

It is an amenable number.

488480084 is a deficient number, since it is larger than the sum of its proper divisors (379801876).

488480084 is a wasteful number, since it uses less digits than its factorization.

488480084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 488480084 is about 22101.5855539823. The cubic root of 488480084 is about 787.5575281397.

It can be divided in two parts, 4884800 and 84, that added together give a palindrome (4884884).

The spelling of 488480084 in words is "four hundred eighty-eight million, four hundred eighty thousand, eighty-four".