495832320 has 144 divisors (see below), whose sum is σ = 1759638720. Its totient is φ = 132212736.

The previous prime is 495832297. The next prime is 495832333. The reversal of 495832320 is 23238594.

495832320 is a `hidden beast` number, since 49 + 583 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 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, 27387 + ... + 41733.

Almost surely, 2^495832320 is an apocalyptic number.

495832320 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 495832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879819360).

495832320 is an abundant number, since it is smaller than the sum of its proper divisors (1263806400).

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

495832320 is a wasteful number, since it uses less digits than its factorization.

495832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14377 (or 14357 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 495832320 is about 22267.2926059726. The cubic root of 495832320 is about 791.4891103681.

The spelling of 495832320 in words is "four hundred ninety-five million, eight hundred thirty-two thousand, three hundred twenty".