495864 has 48 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 161280.

The previous prime is 495851. The next prime is 495877. The reversal of 495864 is 468594.

495864 is nontrivially palindromic in base 14.

495864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (495851) and next prime (495877).

It is a super-2 number, since 2×495864² = 491762212992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (34560) is a multiple of the sum of its prime factors (180).

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 495864.

It is an unprimeable number.

495864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5064 + ... + 5160.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2⁴⁹⁵⁸⁶⁴ 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 495864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

495864 is an abundant number, since it is smaller than the sum of its proper divisors (880056).

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

495864 is a wasteful number, since it uses less digits than its factorization.

495864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

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

The square root of 495864 is about 704.1761143350. The cubic root of 495864 is about 79.1505966766.

The spelling of 495864 in words is "four hundred ninety-five thousand, eight hundred sixty-four".