495316080 has 640 divisors, whose sum is σ = 2159861760. Its totient is φ = 101744640.

The previous prime is 495316079. The next prime is 495316123. The reversal of 495316080 is 80613594.

495316080 is a `hidden beast` number, since 49 + 5 + 3 + 1 + 608 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10538617 + ... + 10538663.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^495316080 is an apocalyptic number.

495316080 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 495316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079930880).

495316080 is an abundant number, since it is smaller than the sum of its proper divisors (1664545680).

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

495316080 is a wasteful number, since it uses less digits than its factorization.

495316080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 495316080 is about 22255.6976974437. The cubic root of 495316080 is about 791.2143264616.

It can be divided in two parts, 49531 and 6080, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 495316080 in words is "four hundred ninety-five million, three hundred sixteen thousand, eighty".