495872 has 36 divisors (see below), whose sum is σ = 1073100. Its totient is φ = 227328.

The previous prime is 495851. The next prime is 495877. The reversal of 495872 is 278594.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 430336 = 256^2 + 656^2 .

It is not an unprimeable number, because it can be changed into a prime (495877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3254 + ... + 3402.

2⁴⁹⁵⁸⁷² 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 495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536550).

495872 is an abundant number, since it is smaller than the sum of its proper divisors (577228).

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

495872 is a wasteful number, since it uses less digits than its factorization.

495872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 495872 is about 704.1817947093. The cubic root of 495872 is about 79.1510223319.

The spelling of 495872 in words is "four hundred ninety-five thousand, eight hundred seventy-two".