495264 has 96 divisors (see below), whose sum is σ = 1645056. Its totient is φ = 126720.

The previous prime is 495241. The next prime is 495269. The reversal of 495264 is 462594.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (8640) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (495269) 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, 7359 + ... + 7425.

It is an arithmetic number, because the mean of its divisors is an integer number (17136).

2⁴⁹⁵²⁶⁴ is an apocalyptic number.

495264 is a gapful number since it is divisible by the number (44) 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 495264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822528).

495264 is an abundant number, since it is smaller than the sum of its proper divisors (1149792).

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

495264 is a wasteful number, since it uses less digits than its factorization.

495264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 495264 is about 703.7499555950. The cubic root of 495264 is about 79.1186594751.

The spelling of 495264 in words is "four hundred ninety-five thousand, two hundred sixty-four".