496811808 has 216 divisors, whose sum is σ = 1544804352. Its totient is φ = 151345152.

The previous prime is 496811759. The next prime is 496811827. The reversal of 496811808 is 808118694.

496811808 is a `hidden beast` number, since 496 + 81 + 1 + 80 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3911841 + ... + 3911967.

It is an arithmetic number, because the mean of its divisors is an integer number (7151872).

Almost surely, 2^496811808 is an apocalyptic number.

496811808 is a gapful number since it is divisible by the number (48) 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 496811808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772402176).

496811808 is an abundant number, since it is smaller than the sum of its proper divisors (1047992544).

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

496811808 is a wasteful number, since it uses less digits than its factorization.

496811808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 496811808 is about 22289.2756275299. The cubic root of 496811808 is about 792.0099478395.

The spelling of 496811808 in words is "four hundred ninety-six million, eight hundred eleven thousand, eight hundred eight".