496515840 has 288 divisors, whose sum is σ = 1692235776. Its totient is φ = 123863040.

The previous prime is 496515793. The next prime is 496515841. The reversal of 496515840 is 48515694.

It is a junction number, because it is equal to n+sod(n) for n = 496515792 and 496515801.

It is not an unprimeable number, because it can be changed into a prime (496515841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5118672 + ... + 5118768.

Almost surely, 2^496515840 is an apocalyptic number.

496515840 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 496515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846117888).

496515840 is an abundant number, since it is smaller than the sum of its proper divisors (1195719936).

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

496515840 is a wasteful number, since it uses less digits than its factorization.

496515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 496515840 is about 22282.6353917125. The cubic root of 496515840 is about 791.8526406792.

The spelling of 496515840 in words is "four hundred ninety-six million, five hundred fifteen thousand, eight hundred forty".