490187980800 has 816 divisors, whose sum is σ = 2059555322880. Its totient is φ = 111972188160.

The previous prime is 490187980781. The next prime is 490187980801. The reversal of 490187980800 is 8089781094.

490187980800 is a `hidden beast` number, since 490 + 1 + 8 + 79 + 8 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (490187980801) 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, 309656809 + ... + 309658391.

Almost surely, 2^490187980800 is an apocalyptic number.

490187980800 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 490187980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029777661440).

490187980800 is an abundant number, since it is smaller than the sum of its proper divisors (1569367342080).

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

490187980800 is an equidigital number, since it uses as much as digits as its factorization.

490187980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 490187980800 in words is "four hundred ninety billion, one hundred eighty-seven million, nine hundred eighty thousand, eight hundred".