486604800000 has 960 divisors, whose sum is σ = 1965952296000. Its totient is φ = 117964800000.

The previous prime is 486604799981. The next prime is 486604800053. The reversal of 486604800000 is 8406684.

486604800000 is a `hidden beast` number, since 48 + 6 + 604 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44236799995 + ... + 44236800005.

It is an arithmetic number, because the mean of its divisors is an integer number (2047866975).

Almost surely, 2^486604800000 is an apocalyptic number.

486604800000 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 486604800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982976148000).

486604800000 is an abundant number, since it is smaller than the sum of its proper divisors (1479347496000).

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

486604800000 is an frugal number, since it uses more digits than its factorization.

486604800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 486604800000 in words is "four hundred eighty-six billion, six hundred four million, eight hundred thousand".