496076840 has 96 divisors (see below), whose sum is σ = 1295844480. Its totient is φ = 167423616.

The previous prime is 496076837. The next prime is 496076843. The reversal of 496076840 is 48670694.

It is an interprime number because it is at equal distance from previous prime (496076837) and next prime (496076843).

It is a junction number, because it is equal to n+sod(n) for n = 496076791 and 496076800.

It is not an unprimeable number, because it can be changed into a prime (496076843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2970437 + ... + 2970603.

It is an arithmetic number, because the mean of its divisors is an integer number (13498380).

Almost surely, 2^496076840 is an apocalyptic number.

496076840 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 496076840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647922240).

496076840 is an abundant number, since it is smaller than the sum of its proper divisors (799767640).

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

496076840 is a wasteful number, since it uses less digits than its factorization.

496076840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 496076840 is about 22272.7824934380. The cubic root of 496076840 is about 791.6191967597.

The spelling of 496076840 in words is "four hundred ninety-six million, seventy-six thousand, eight hundred forty".