495824920 has 64 divisors (see below), whose sum is σ = 1132405920. Its totient is φ = 195369984.

The previous prime is 495824899. The next prime is 495824921. The reversal of 495824920 is 29428594.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495824921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947779 + ... + 948301.

Almost surely, 2^495824920 is an apocalyptic number.

495824920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495824920 is an abundant number, since it is smaller than the sum of its proper divisors (636581000).

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

495824920 is a wasteful number, since it uses less digits than its factorization.

495824920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 495824920 is about 22267.1264423589. The cubic root of 495824920 is about 791.4851728484.

The spelling of 495824920 in words is "four hundred ninety-five million, eight hundred twenty-four thousand, nine hundred twenty".