496069728 has 144 divisors (see below), whose sum is σ = 1652664384. Its totient is φ = 128835840.

The previous prime is 496069711. The next prime is 496069759. The reversal of 496069728 is 827960694.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 46951 + ... + 56537.

It is an arithmetic number, because the mean of its divisors is an integer number (11476836).

Almost surely, 2^496069728 is an apocalyptic number.

496069728 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 496069728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826332192).

496069728 is an abundant number, since it is smaller than the sum of its proper divisors (1156594656).

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

496069728 is a wasteful number, since it uses less digits than its factorization.

496069728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9625 (or 9610 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 496069728 is about 22272.6228361188. The cubic root of 496069728 is about 791.6154137284.

The spelling of 496069728 in words is "four hundred ninety-six million, sixty-nine thousand, seven hundred twenty-eight".