496884240 has 160 divisors (see below), whose sum is σ = 1718640000. Its totient is φ = 131950080.

The previous prime is 496884187. The next prime is 496884251. The reversal of 496884240 is 42488694.

496884240 is a `hidden beast` number, since 496 + 88 + 42 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995511 + ... + 996009.

It is an arithmetic number, because the mean of its divisors is an integer number (10741500).

Almost surely, 2^496884240 is an apocalyptic number.

496884240 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 496884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859320000).

496884240 is an abundant number, since it is smaller than the sum of its proper divisors (1221755760).

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

496884240 is a wasteful number, since it uses less digits than its factorization.

496884240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 496884240 is about 22290.9003855834. The cubic root of 496884240 is about 792.0484359726.

It can be divided in two parts, 496 and 884240, that added together give a cube (884736 = 96³).

The spelling of 496884240 in words is "four hundred ninety-six million, eight hundred eighty-four thousand, two hundred forty".