486778939200 has 336 divisors, whose sum is σ = 1778395183360. Its totient is φ = 129522032640.

The previous prime is 486778939183. The next prime is 486778939201. The reversal of 486778939200 is 2939877684.

486778939200 is a `hidden beast` number, since 486 + 77 + 89 + 3 + 9 + 2 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486778939201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19989432 + ... + 20013768.

Almost surely, 2^486778939200 is an apocalyptic number.

486778939200 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 486778939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889197591680).

486778939200 is an abundant number, since it is smaller than the sum of its proper divisors (1291616244160).

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

486778939200 is a wasteful number, since it uses less digits than its factorization.

486778939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24831 (or 24810 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 486778939200 in words is "four hundred eighty-six billion, seven hundred seventy-eight million, nine hundred thirty-nine thousand, two hundred".