488005120 has 160 divisors (see below), whose sum is σ = 1257062400. Its totient is φ = 181149696.

The previous prime is 488005109. The next prime is 488005123. The reversal of 488005120 is 21500884.

488005120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488005123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3842497 + ... + 3842623.

It is an arithmetic number, because the mean of its divisors is an integer number (7856640).

Almost surely, 2^488005120 is an apocalyptic number.

488005120 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 488005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628531200).

488005120 is an abundant number, since it is smaller than the sum of its proper divisors (769057280).

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

488005120 is a wasteful number, since it uses less digits than its factorization.

488005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 488005120 is about 22090.8379198255. The cubic root of 488005120 is about 787.3021900077.

The spelling of 488005120 in words is "four hundred eighty-eight million, five thousand, one hundred twenty".