488420520 has 128 divisors (see below), whose sum is σ = 1684765440. Its totient is φ = 110960640.

The previous prime is 488420509. The next prime is 488420539. The reversal of 488420520 is 25024884.

It is a happy number.

It is a super-3 number, since 3×488420520³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143640 + ... + 147000.

It is an arithmetic number, because the mean of its divisors is an integer number (13162230).

Almost surely, 2^488420520 is an apocalyptic number.

488420520 is a gapful number since it is divisible by the number (40) 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 488420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842382720).

488420520 is an abundant number, since it is smaller than the sum of its proper divisors (1196344920).

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

488420520 is a wasteful number, since it uses less digits than its factorization.

488420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 488420520 is about 22100.2380077682. The cubic root of 488420520 is about 787.5255159281.

The spelling of 488420520 in words is "four hundred eighty-eight million, four hundred twenty thousand, five hundred twenty".