495973008 has 120 divisors (see below), whose sum is σ = 1431610752. Its totient is φ = 160199424.

The previous prime is 495973003. The next prime is 495973019. The reversal of 495973008 is 800379594.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (495973003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1070985 + ... + 1071447.

Almost surely, 2^495973008 is an apocalyptic number.

495973008 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 495973008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715805376).

495973008 is an abundant number, since it is smaller than the sum of its proper divisors (935637744).

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

495973008 is a wasteful number, since it uses less digits than its factorization.

495973008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 495973008 is about 22270.4514547865. The cubic root of 495973008 is about 791.5639626151.

The spelling of 495973008 in words is "four hundred ninety-five million, nine hundred seventy-three thousand, eight".