487480708800 has 252 divisors, whose sum is σ = 1734967112736. Its totient is φ = 129818880000.

The previous prime is 487480708783. The next prime is 487480708807. The reversal of 487480708800 is 8807084784.

It is a happy number.

487480708800 is a `hidden beast` number, since 4 + 87 + 480 + 7 + 0 + 8 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (487480708807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10791862 + ... + 10836938.

Almost surely, 2^487480708800 is an apocalyptic number.

487480708800 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 487480708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867483556368).

487480708800 is an abundant number, since it is smaller than the sum of its proper divisors (1247486403936).

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

487480708800 is a wasteful number, since it uses less digits than its factorization.

487480708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45856 (or 45838 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 487480708800 in words is "four hundred eighty-seven billion, four hundred eighty million, seven hundred eight thousand, eight hundred".