496679040 has 640 divisors, whose sum is σ = 2114925120. Its totient is φ = 109486080.

The previous prime is 496679039. The next prime is 496679047. The reversal of 496679040 is 40976694.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496679047) 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 79 ways as a sum of consecutive naturals, for example, 7413087 + ... + 7413153.

Almost surely, 2^496679040 is an apocalyptic number.

496679040 is a gapful number since it is divisible by the number (40) 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 496679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057462560).

496679040 is an abundant number, since it is smaller than the sum of its proper divisors (1618246080).

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

496679040 is a wasteful number, since it uses less digits than its factorization.

496679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 496679040 is about 22286.2971352354. The cubic root of 496679040 is about 791.9393893011.

The spelling of 496679040 in words is "four hundred ninety-six million, six hundred seventy-nine thousand, forty".