487760 has 80 divisors (see below), whose sum is σ = 1416576. Its totient is φ = 152064.

The previous prime is 487757. The next prime is 487769. The reversal of 487760 is 67784.

487760 = T₃₉ + T₄₀ + ... + T₁₄₃.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487769) 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, 7247 + ... + 7313.

2⁴⁸⁷⁷⁶⁰ is an apocalyptic number.

487760 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 487760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708288).

487760 is an abundant number, since it is smaller than the sum of its proper divisors (928816).

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

487760 is a wasteful number, since it uses less digits than its factorization.

487760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 487760 is about 698.3981672370. The cubic root of 487760 is about 78.7170349975.

The spelling of 487760 in words is "four hundred eighty-seven thousand, seven hundred sixty".