495106560 has 640 divisors, whose sum is σ = 2062368000. Its totient is φ = 111476736.

The previous prime is 495106543. The next prime is 495106603. The reversal of 495106560 is 65601594.

495106560 is a `hidden beast` number, since 4 + 95 + 1 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17072626 + ... + 17072654.

It is an arithmetic number, because the mean of its divisors is an integer number (3222450).

Almost surely, 2^495106560 is an apocalyptic number.

495106560 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 495106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184000).

495106560 is an abundant number, since it is smaller than the sum of its proper divisors (1567261440).

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

495106560 is a wasteful number, since it uses less digits than its factorization.

495106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 495106560 is about 22250.9900903308. The cubic root of 495106560 is about 791.1027488163.

The spelling of 495106560 in words is "four hundred ninety-five million, one hundred six thousand, five hundred sixty".