496539648 has 288 divisors, whose sum is σ = 1635379200. Its totient is φ = 143769600.

The previous prime is 496539629. The next prime is 496539691. The reversal of 496539648 is 846935694.

496539648 is a `hidden beast` number, since 49 + 6 + 539 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 496539594 and 496539603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6285273 + ... + 6285351.

It is an arithmetic number, because the mean of its divisors is an integer number (5678400).

Almost surely, 2^496539648 is an apocalyptic number.

496539648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817689600).

496539648 is an abundant number, since it is smaller than the sum of its proper divisors (1138839552).

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

496539648 is a wasteful number, since it uses less digits than its factorization.

496539648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 496539648 is about 22283.1696129613. The cubic root of 496539648 is about 791.8652969564.

The spelling of 496539648 in words is "four hundred ninety-six million, five hundred thirty-nine thousand, six hundred forty-eight".