490186980 has 144 divisors (see below), whose sum is σ = 1538095104. Its totient is φ = 126282240.

The previous prime is 490186979. The next prime is 490186987. The reversal of 490186980 is 89681094.

490186980 is a `hidden beast` number, since 490 + 1 + 86 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (490186987) 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, 936999 + ... + 937521.

It is an arithmetic number, because the mean of its divisors is an integer number (10681216).

Almost surely, 2^490186980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490186980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769047552).

490186980 is an abundant number, since it is smaller than the sum of its proper divisors (1047908124).

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

490186980 is a wasteful number, since it uses less digits than its factorization.

490186980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 490186980 is about 22140.1666660394. The cubic root of 490186980 is about 788.4737825241.

The spelling of 490186980 in words is "four hundred ninety million, one hundred eighty-six thousand, nine hundred eighty".