487088640 has 360 divisors, whose sum is σ = 1812121740. Its totient is φ = 125411328.

The previous prime is 487088633. The next prime is 487088653. The reversal of 487088640 is 46880784.

It can be written as a sum of positive squares in 2 ways, for example, as 485409024 + 1679616 = 22032^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16796146 + ... + 16796174.

Almost surely, 2^487088640 is an apocalyptic number.

487088640 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 487088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906060870).

487088640 is an abundant number, since it is smaller than the sum of its proper divisors (1325033100).

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

487088640 is an frugal number, since it uses more digits than its factorization.

487088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 487088640 is about 22070.0847302406. The cubic root of 487088640 is about 786.8090265519.

The spelling of 487088640 in words is "four hundred eighty-seven million, eighty-eight thousand, six hundred forty".