486160 has 40 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 189312.

The previous prime is 486139. The next prime is 486163. The reversal of 486160 is 61684.

486160 = T₄₁ + T₄₂ + ... + T₁₄₃.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (486163) 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, 4669 + ... + 4771.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁴⁸⁶¹⁶⁰ is an apocalyptic number.

486160 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 486160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

486160 is an abundant number, since it is smaller than the sum of its proper divisors (674480).

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

486160 is a wasteful number, since it uses less digits than its factorization.

486160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 486160 is about 697.2517479361. The cubic root of 486160 is about 78.6308688348.

It can be divided in two parts, 486 and 160, that added together give a palindrome (646).

The spelling of 486160 in words is "four hundred eighty-six thousand, one hundred sixty".