495648 has 36 divisors (see below), whose sum is σ = 1410318. Its totient is φ = 165120.

The previous prime is 495647. The next prime is 495667. The reversal of 495648 is 846594.

495648 is a `hidden beast` number, since 4 + 9 + 5 + 648 = 666.

495648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 121104 = 612^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (495647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 573 + ... + 1148.

2⁴⁹⁵⁶⁴⁸ is an apocalyptic number.

495648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

495648 is an abundant number, since it is smaller than the sum of its proper divisors (914670).

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

495648 is a wasteful number, since it uses less digits than its factorization.

495648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1726 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 495648 is about 704.0227269059. The cubic root of 495648 is about 79.1391022535.

The spelling of 495648 in words is "four hundred ninety-five thousand, six hundred forty-eight".