490597982329 has 81 divisors (see below), whose sum is σ = 636232096143. Its totient is φ = 377020242144.

The previous prime is 490597982261. The next prime is 490597982351. The reversal of 490597982329 is 923289795094.

The square root of 490597982329 is 700427.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72573666025 + 418024316304 = 269395^2 + 646548^2 .

It is not a de Polignac number, because 490597982329 - 2⁹ = 490597981817 is a prime.

It is a super-3 number, since 3×490597982329³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (490597982429) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2740770762 + ... + 2740770940.

Almost surely, 2^490597982329 is an apocalyptic number.

490597982329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

490597982329 is the 700427-th square number.

490597982329 is the 350214-th centered octagonal number.

It is an amenable number.

490597982329 is a deficient number, since it is larger than the sum of its proper divisors (145634113814).

490597982329 is an equidigital number, since it uses as much as digits as its factorization.

490597982329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 490597982329 in words is "four hundred ninety billion, five hundred ninety-seven million, nine hundred eighty-two thousand, three hundred twenty-nine".