490593984 has 112 divisors (see below), whose sum is σ = 1375745280. Its totient is φ = 153861120.

The previous prime is 490593959. The next prime is 490593997. The reversal of 490593984 is 489395094.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659917 + ... + 660659.

It is an arithmetic number, because the mean of its divisors is an integer number (12283440).

Almost surely, 2^490593984 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 490593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687872640).

490593984 is an abundant number, since it is smaller than the sum of its proper divisors (885151296).

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

490593984 is a wasteful number, since it uses less digits than its factorization.

490593984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 490593984 is about 22149.3562886148. The cubic root of 490593984 is about 788.6919463536.

It can be divided in two parts, 4905 and 93984, that added together give a palindrome (98889).

The spelling of 490593984 in words is "four hundred ninety million, five hundred ninety-three thousand, nine hundred eighty-four".