495176480 has 72 divisors (see below), whose sum is σ = 1234810332. Its totient is φ = 187623936.

The previous prime is 495176401. The next prime is 495176489. The reversal of 495176480 is 84671594.

It can be written as a sum of positive squares in 2 ways, for example, as 482417296 + 12759184 = 21964^2 + 3572^2 .

It is not an unprimeable number, because it can be changed into a prime (495176489) 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 11 ways as a sum of consecutive naturals, for example, 53474 + ... + 62046.

Almost surely, 2^495176480 is an apocalyptic number.

495176480 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 495176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617405166).

495176480 is an abundant number, since it is smaller than the sum of its proper divisors (739633852).

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

495176480 is a wasteful number, since it uses less digits than its factorization.

495176480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 495176480 is about 22252.5612009045. The cubic root of 495176480 is about 791.1399874669.

The spelling of 495176480 in words is "four hundred ninety-five million, one hundred seventy-six thousand, four hundred eighty".