495855280 has 80 divisors (see below), whose sum is σ = 1189611360. Its totient is φ = 192118784.

The previous prime is 495855263. The next prime is 495855299. The reversal of 495855280 is 82558594.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 495855280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351216 + ... + 352624.

It is an arithmetic number, because the mean of its divisors is an integer number (14870142).

Almost surely, 2^495855280 is an apocalyptic number.

495855280 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 495855280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594805680).

495855280 is an abundant number, since it is smaller than the sum of its proper divisors (693756080).

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

495855280 is a wasteful number, since it uses less digits than its factorization.

495855280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 46.

The square root of 495855280 is about 22267.8081543739. The cubic root of 495855280 is about 791.5013270717.

The spelling of 495855280 in words is "four hundred ninety-five million, eight hundred fifty-five thousand, two hundred eighty".