496125 has 60 divisors (see below), whose sum is σ = 1075932. Its totient is φ = 226800.

The previous prime is 496123. The next prime is 496127. The reversal of 496125 is 521694.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

496125 is a `hidden beast` number, since 49 + 612 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (496123) and next prime (496127).

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 480249 = 126^2 + 693^2 .

It is not a de Polignac number, because 496125 - 2¹ = 496123 is a prime.

It is a super-2 number, since 2×496125² = 492280031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (2160) is a multiple of the sum of its prime divisors (15).

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 496125.

It is not an unprimeable number, because it can be changed into a prime (496123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70872 + ... + 70878.

496125 is a Friedman number, since it can be written as (9*(41-6))^2*5, using all its digits and the basic arithmetic operations.

2⁴⁹⁶¹²⁵ is an apocalyptic number.

496125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

496125 is an abundant number, since it is smaller than the sum of its proper divisors (579807).

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

496125 is an equidigital number, since it uses as much as digits as its factorization.

496125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 15 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 496125 is about 704.3614129124. The cubic root of 496125 is about 79.1644813186.

The spelling of 496125 in words is "four hundred ninety-six thousand, one hundred twenty-five".