495564048 has 240 divisors, whose sum is σ = 1698016320. Its totient is φ = 137894400.

The previous prime is 495564011. The next prime is 495564071. The reversal of 495564048 is 840465594.

495564048 is a `hidden beast` number, since 49 + 5 + 564 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 495563994 and 495564012.

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 47 ways as a sum of consecutive naturals, for example, 867603 + ... + 868173.

It is an arithmetic number, because the mean of its divisors is an integer number (7075068).

Almost surely, 2^495564048 is an apocalyptic number.

495564048 is a gapful number since it is divisible by the number (48) 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 495564048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849008160).

495564048 is an abundant number, since it is smaller than the sum of its proper divisors (1202452272).

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

495564048 is a wasteful number, since it uses less digits than its factorization.

495564048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 495564048 is about 22261.2678884200. The cubic root of 495564048 is about 791.3463385315.

The spelling of 495564048 in words is "four hundred ninety-five million, five hundred sixty-four thousand, forty-eight".