495344424960 has 1728 divisors, whose sum is σ = 2243454071040. Its totient is φ = 98182103040.

The previous prime is 495344424929. The next prime is 495344424977. The reversal of 495344424960 is 69424443594.

495344424960 is a `hidden beast` number, since 4 + 9 + 534 + 4 + 4 + 2 + 49 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 495344424897 and 495344424906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5968005079 + ... + 5968005161.

It is an arithmetic number, because the mean of its divisors is an integer number (1298295180).

Almost surely, 2^495344424960 is an apocalyptic number.

495344424960 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 495344424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121727035520).

495344424960 is an abundant number, since it is smaller than the sum of its proper divisors (1748109646080).

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

495344424960 is a wasteful number, since it uses less digits than its factorization.

495344424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 495344424960 in words is "four hundred ninety-five billion, three hundred forty-four million, four hundred twenty-four thousand, nine hundred sixty".