487440 has 60 divisors (see below), whose sum is σ = 1639404. Its totient is φ = 129792.

The previous prime is 487429. The next prime is 487447. The reversal of 487440 is 44784.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 112896 = 612^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (487447) by changing a digit.

487440 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382 + ... + 1058.

2⁴⁸⁷⁴⁴⁰ is an apocalyptic number.

487440 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 487440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819702).

487440 is an abundant number, since it is smaller than the sum of its proper divisors (1151964).

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

487440 is a wasteful number, since it uses less digits than its factorization.

487440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 487440 is about 698.1690339739. The cubic root of 487440 is about 78.6998168562.

The spelling of 487440 in words is "four hundred eighty-seven thousand, four hundred forty".