496749840 has 80 divisors (see below), whose sum is σ = 1565215296. Its totient is φ = 130291200.

The previous prime is 496749829. The next prime is 496749853. The reversal of 496749840 is 48947694.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2326 + ... + 31605.

Almost surely, 2^496749840 is an apocalyptic number.

496749840 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 496749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782607648).

496749840 is an abundant number, since it is smaller than the sum of its proper divisors (1068465456).

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

496749840 is a wasteful number, since it uses less digits than its factorization.

496749840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34008 (or 34002 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 496749840 is about 22287.8854986291. The cubic root of 496749840 is about 791.9770169843.

The spelling of 496749840 in words is "four hundred ninety-six million, seven hundred forty-nine thousand, eight hundred forty".