487135645800 has 384 divisors, whose sum is σ = 1623271104000. Its totient is φ = 120469939200.

The previous prime is 487135645769. The next prime is 487135645811. The reversal of 487135645800 is 8546531784.

It is a super-2 number, since 2×487135645800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446503255 + ... + 446504345.

It is an arithmetic number, because the mean of its divisors is an integer number (4227268500).

Almost surely, 2^487135645800 is an apocalyptic number.

487135645800 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 487135645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811635552000).

487135645800 is an abundant number, since it is smaller than the sum of its proper divisors (1136135458200).

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

487135645800 is a wasteful number, since it uses less digits than its factorization.

487135645800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 487135645800 in words is "four hundred eighty-seven billion, one hundred thirty-five million, six hundred forty-five thousand, eight hundred".