495603360 has 336 divisors, whose sum is σ = 2009581056. Its totient is φ = 113094144.

The previous prime is 495603323. The next prime is 495603373. The reversal of 495603360 is 63306594.

495603360 is a `hidden beast` number, since 4 + 9 + 560 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816177 + ... + 816783.

It is an arithmetic number, because the mean of its divisors is an integer number (5980896).

Almost surely, 2^495603360 is an apocalyptic number.

495603360 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 495603360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004790528).

495603360 is an abundant number, since it is smaller than the sum of its proper divisors (1513977696).

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

495603360 is an equidigital number, since it uses as much as digits as its factorization.

495603360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 495603360 is about 22262.1508394854. The cubic root of 495603360 is about 791.3672632299.

The spelling of 495603360 in words is "four hundred ninety-five million, six hundred three thousand, three hundred sixty".