490598784 has 384 divisors, whose sum is σ = 1684126080. Its totient is φ = 135659520.

The previous prime is 490598701. The next prime is 490598803. The reversal of 490598784 is 487895094.

490598784 is a `hidden beast` number, since 49 + 0 + 598 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 490598784.

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, 10438249 + ... + 10438295.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2^490598784 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 490598784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040).

490598784 is an abundant number, since it is smaller than the sum of its proper divisors (1193527296).

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

490598784 is a wasteful number, since it uses less digits than its factorization.

490598784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 490598784 is about 22149.4646436432. The cubic root of 490598784 is about 788.6945185478.

The spelling of 490598784 in words is "four hundred ninety million, five hundred ninety-eight thousand, seven hundred eighty-four".