495631968 has 192 divisors, whose sum is σ = 1511903232. Its totient is φ = 140912640.

The previous prime is 495631963. The next prime is 495632003. The reversal of 495631968 is 869136594.

It is a self number, because there is not a number n which added to its sum of digits gives 495631968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495631963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889546 + ... + 890102.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2^495631968 is an apocalyptic number.

495631968 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 495631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755951616).

495631968 is an abundant number, since it is smaller than the sum of its proper divisors (1016271264).

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

495631968 is a wasteful number, since it uses less digits than its factorization.

495631968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 495631968 is about 22262.7933557314. The cubic root of 495631968 is about 791.3824897873.

The spelling of 495631968 in words is "four hundred ninety-five million, six hundred thirty-one thousand, nine hundred sixty-eight".