495688320 has 192 divisors, whose sum is σ = 1749047040. Its totient is φ = 129300480.

The previous prime is 495688253. The next prime is 495688327. The reversal of 495688320 is 23886594.

495688320 is a `hidden beast` number, since 4 + 9 + 568 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (495688327) 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 23 ways as a sum of consecutive naturals, for example, 269805 + ... + 271635.

It is an arithmetic number, because the mean of its divisors is an integer number (9109620).

Almost surely, 2^495688320 is an apocalyptic number.

495688320 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 495688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874523520).

495688320 is an abundant number, since it is smaller than the sum of its proper divisors (1253358720).

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

495688320 is a wasteful number, since it uses less digits than its factorization.

495688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 495688320 is about 22264.0589291351. The cubic root of 495688320 is about 791.4124813260.

The spelling of 495688320 in words is "four hundred ninety-five million, six hundred eighty-eight thousand, three hundred twenty".