487999420800 has 768 divisors, whose sum is σ = 1713490329600. Its totient is φ = 121881600000.

The previous prime is 487999420793. The next prime is 487999420801. The reversal of 487999420800 is 8024999784.

It is a super-2 number, since 2×487999420800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487999420801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1944220675 + ... + 1944220925.

It is an arithmetic number, because the mean of its divisors is an integer number (2231107200).

Almost surely, 2^487999420800 is an apocalyptic number.

487999420800 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 487999420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856745164800).

487999420800 is an abundant number, since it is smaller than the sum of its proper divisors (1225490908800).

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

487999420800 is a wasteful number, since it uses less digits than its factorization.

487999420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 487999420800 in words is "four hundred eighty-seven billion, nine hundred ninety-nine million, four hundred twenty thousand, eight hundred".