495812016 has 400 divisors, whose sum is σ = 1774553088. Its totient is φ = 130636800.

The previous prime is 495811997. The next prime is 495812063. The reversal of 495812016 is 610218594.

495812016 is a `hidden beast` number, since 49 + 581 + 20 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11530491 + ... + 11530533.

Almost surely, 2^495812016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495812016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887276544).

495812016 is an abundant number, since it is smaller than the sum of its proper divisors (1278741072).

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

495812016 is a wasteful number, since it uses less digits than its factorization.

495812016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 495812016 is about 22266.8366859776. The cubic root of 495812016 is about 791.4783065717.

The spelling of 495812016 in words is "four hundred ninety-five million, eight hundred twelve thousand, sixteen".