495776736 has 144 divisors (see below), whose sum is σ = 1735310304. Its totient is φ = 130747392.

The previous prime is 495776731. The next prime is 495776761. The reversal of 495776736 is 637677594.

495776736 is a `hidden beast` number, since 4 + 9 + 577 + 67 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495776731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16750 + ... + 35666.

It is an arithmetic number, because the mean of its divisors is an integer number (12050766).

Almost surely, 2^495776736 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 495776736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867655152).

495776736 is an abundant number, since it is smaller than the sum of its proper divisors (1239533568).

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

495776736 is a wasteful number, since it uses less digits than its factorization.

495776736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18953 (or 18942 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The square root of 495776736 is about 22266.0444623647. The cubic root of 495776736 is about 791.4595333162.

The spelling of 495776736 in words is "four hundred ninety-five million, seven hundred seventy-six thousand, seven hundred thirty-six".