488160 has 96 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 129024.

The previous prime is 488153. The next prime is 488161. The reversal of 488160 is 61884.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488161) 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, 4264 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2⁴⁸⁸¹⁶⁰ is an apocalyptic number.

488160 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 488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

488160 is an abundant number, since it is smaller than the sum of its proper divisors (1235520).

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

488160 is a wasteful number, since it uses less digits than its factorization.

488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 488160 is about 698.6844781445. The cubic root of 488160 is about 78.7385470873.

The spelling of 488160 in words is "four hundred eighty-eight thousand, one hundred sixty".