488711160 has 384 divisors, whose sum is σ = 1954368000. Its totient is φ = 103431168.

The previous prime is 488711159. The next prime is 488711177. The reversal of 488711160 is 61117884.

488711160 is a `hidden beast` number, since 488 + 7 + 11 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2824834 + ... + 2825006.

It is an arithmetic number, because the mean of its divisors is an integer number (5089500).

Almost surely, 2^488711160 is an apocalyptic number.

488711160 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 488711160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977184000).

488711160 is an abundant number, since it is smaller than the sum of its proper divisors (1465656840).

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

488711160 is a wasteful number, since it uses less digits than its factorization.

488711160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 488711160 is about 22106.8125246495. The cubic root of 488711160 is about 787.6816935258.

The spelling of 488711160 in words is "four hundred eighty-eight million, seven hundred eleven thousand, one hundred sixty".