495105360 has 160 divisors (see below), whose sum is σ = 1612396800. Its totient is φ = 125435904.

The previous prime is 495105353. The next prime is 495105367. The reversal of 495105360 is 63501594.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (495105353) and next prime (495105367).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495105367) 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 31 ways as a sum of consecutive naturals, for example, 1418466 + ... + 1418814.

It is an arithmetic number, because the mean of its divisors is an integer number (10077480).

Almost surely, 2^495105360 is an apocalyptic number.

495105360 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 495105360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806198400).

495105360 is an abundant number, since it is smaller than the sum of its proper divisors (1117291440).

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

495105360 is a wasteful number, since it uses less digits than its factorization.

495105360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 495105360 is about 22250.9631252222. The cubic root of 495105360 is about 791.1021096784.

The spelling of 495105360 in words is "four hundred ninety-five million, one hundred five thousand, three hundred sixty".