495995760 has 240 divisors, whose sum is σ = 1888941600. Its totient is φ = 115623936.

The previous prime is 495995743. The next prime is 495995803. The reversal of 495995760 is 67599594.

495995760 is a `hidden beast` number, since 49 + 599 + 5 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 495995697 and 495995706.

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, 176446 + ... + 179234.

It is an arithmetic number, because the mean of its divisors is an integer number (7870590).

Almost surely, 2^495995760 is an apocalyptic number.

495995760 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 495995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944470800).

495995760 is an abundant number, since it is smaller than the sum of its proper divisors (1392945840).

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

495995760 is a wasteful number, since it uses less digits than its factorization.

495995760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 495995760 is about 22270.9622603066. The cubic root of 495995760 is about 791.5760663570.

The spelling of 495995760 in words is "four hundred ninety-five million, nine hundred ninety-five thousand, seven hundred sixty".