496908000 has 384 divisors, whose sum is σ = 1868106240. Its totient is φ = 128217600.

The previous prime is 496907993. The next prime is 496908023. The reversal of 496908000 is 809694.

496908000 is a `hidden beast` number, since 496 + 90 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4643947 + ... + 4644053.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^496908000 is an apocalyptic number.

496908000 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 496908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934053120).

496908000 is an abundant number, since it is smaller than the sum of its proper divisors (1371198240).

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

496908000 is a wasteful number, since it uses less digits than its factorization.

496908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 496908000 is about 22291.4333321121. The cubic root of 496908000 is about 792.0610604898.

The spelling of 496908000 in words is "four hundred ninety-six million, nine hundred eight thousand".