495031824 has 320 divisors, whose sum is σ = 1717985280. Its totient is φ = 135209088.

The previous prime is 495031813. The next prime is 495031847. The reversal of 495031824 is 428130594.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10532569 + ... + 10532615.

It is an arithmetic number, because the mean of its divisors is an integer number (5368704).

Almost surely, 2^495031824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495031824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858992640).

495031824 is an abundant number, since it is smaller than the sum of its proper divisors (1222953456).

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

495031824 is an equidigital number, since it uses as much as digits as its factorization.

495031824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 495031824 is about 22249.3106410064. The cubic root of 495031824 is about 791.0629413385.

The spelling of 495031824 in words is "four hundred ninety-five million, thirty-one thousand, eight hundred twenty-four".