496314648 has 64 divisors (see below), whose sum is σ = 1387008000. Its totient is φ = 164435616.

The previous prime is 496314629. The next prime is 496314649. The reversal of 496314648 is 846413694.

496314648 is a `hidden beast` number, since 4 + 9 + 631 + 4 + 6 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496314649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29193 + ... + 42951.

It is an arithmetic number, because the mean of its divisors is an integer number (21672000).

Almost surely, 2^496314648 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 496314648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693504000).

496314648 is an abundant number, since it is smaller than the sum of its proper divisors (890693352).

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

496314648 is a wasteful number, since it uses less digits than its factorization.

496314648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13941 (or 13931 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 496314648 is about 22278.1203875013. The cubic root of 496314648 is about 791.7456713226.

The spelling of 496314648 in words is "four hundred ninety-six million, three hundred fourteen thousand, six hundred forty-eight".