496584441 has 24 divisors (see below), whose sum is σ = 728274560. Its totient is φ = 326008800.

The previous prime is 496584409. The next prime is 496584449. The reversal of 496584441 is 144485694.

It is not a de Polignac number, because 496584441 - 2⁵ = 496584409 is a prime.

It is a super-2 number, since 2×496584441² = 493192214086564962, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (496584449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 384006 + ... + 385296.

Almost surely, 2^496584441 is an apocalyptic number.

It is an amenable number.

496584441 is a deficient number, since it is larger than the sum of its proper divisors (231690119).

496584441 is a wasteful number, since it uses less digits than its factorization.

496584441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1914 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 496584441 is about 22284.1746762136. The cubic root of 496584441 is about 791.8891077141.

It can be divided in two parts, 496584 and 441, that added together give a square (497025 = 705²).

The spelling of 496584441 in words is "four hundred ninety-six million, five hundred eighty-four thousand, four hundred forty-one".