496759040 has 144 divisors (see below), whose sum is σ = 1296034992. Its totient is φ = 181665792.

The previous prime is 496759013. The next prime is 496759049. The reversal of 496759040 is 40957694.

It can be written as a sum of positive squares in 8 ways, for example, as 4096 + 496754944 = 64^2 + 22288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 496758982 and 496759000.

It is not an unprimeable number, because it can be changed into a prime (496759049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804812 + ... + 805428.

It is an arithmetic number, because the mean of its divisors is an integer number (9000243).

Almost surely, 2^496759040 is an apocalyptic number.

496759040 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 496759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648017496).

496759040 is an abundant number, since it is smaller than the sum of its proper divisors (799275952).

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

496759040 is a wasteful number, since it uses less digits than its factorization.

496759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 496759040 is about 22288.0918878221. The cubic root of 496759040 is about 791.9819061948.

The spelling of 496759040 in words is "four hundred ninety-six million, seven hundred fifty-nine thousand, forty".