495768 has 64 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 130176.

The previous prime is 495757. The next prime is 495769. The reversal of 495768 is 867594.

495768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (60480) is a multiple of the sum of its prime divisors (252).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 495768.

It is not an unprimeable number, because it can be changed into a prime (495769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071 + ... + 2297.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴⁹⁵⁷⁶⁸ 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 495768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

495768 is an abundant number, since it is smaller than the sum of its proper divisors (1036392).

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

495768 is a wasteful number, since it uses less digits than its factorization.

495768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 495768 is about 704.1079462696. The cubic root of 495768 is about 79.1454884563.

The spelling of 495768 in words is "four hundred ninety-five thousand, seven hundred sixty-eight".