487120 has 20 divisors (see below), whose sum is σ = 1132740. Its totient is φ = 194816.

The previous prime is 487111. The next prime is 487133. The reversal of 487120 is 21784.

487120 = T₁₆₅ + T₁₆₆ + ... + T₁₉₄.

It can be written as a sum of positive squares in 2 ways, for example, as 141376 + 345744 = 376^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 487091 and 487100.

It is a congruent number.

It is an unprimeable number.

487120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2965 + ... + 3124.

It is an arithmetic number, because the mean of its divisors is an integer number (56637).

2⁴⁸⁷¹²⁰ is an apocalyptic number.

487120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

487120 is an abundant number, since it is smaller than the sum of its proper divisors (645620).

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

487120 is a wasteful number, since it uses less digits than its factorization.

487120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 487120 is about 697.9398254864. The cubic root of 487120 is about 78.6825911775.

The spelling of 487120 in words is "four hundred eighty-seven thousand, one hundred twenty".