496679652 has 72 divisors (see below), whose sum is σ = 1441806912. Its totient is φ = 141220800.

The previous prime is 496679611. The next prime is 496679653. The reversal of 496679652 is 256976694.

496679652 is a `hidden beast` number, since 496 + 67 + 96 + 5 + 2 = 666.

It is a super-2 number, since 2×496679652² = 493381353421682208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (496679653) 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, 48502 + ... + 57842.

It is an arithmetic number, because the mean of its divisors is an integer number (20025096).

Almost surely, 2^496679652 is an apocalyptic number.

496679652 is a gapful number since it is divisible by the number (42) 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 496679652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720903456).

496679652 is an abundant number, since it is smaller than the sum of its proper divisors (945127260).

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

496679652 is a wasteful number, since it uses less digits than its factorization.

496679652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9564 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 496679652 is about 22286.3108656413. The cubic root of 496679652 is about 791.9397145726.

It can be divided in two parts, 49667 and 9652, that added together give a cube (59319 = 39³).

The spelling of 496679652 in words is "four hundred ninety-six million, six hundred seventy-nine thousand, six hundred fifty-two".