484757 has 12 divisors (see below), whose sum is σ = 608076. Its totient is φ = 383040.

The previous prime is 484751. The next prime is 484763. The reversal of 484757 is 757484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (484751) and next prime (484763).

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 461041 = 154^2 + 679^2 .

It is not a de Polignac number, because 484757 - 2¹⁰ = 483733 is a prime.

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 484757.

It is not an unprimeable number, because it can be changed into a prime (484751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

2⁴⁸⁴⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

484757 is a deficient number, since it is larger than the sum of its proper divisors (123319).

484757 is a wasteful number, since it uses less digits than its factorization.

484757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 781 counting only the distinct ones).

The product of its digits is 31360, while the sum is 35.

The square root of 484757 is about 696.2449281682. The cubic root of 484757 is about 78.5551561737. Note that the first 3 decimals are identical.

The spelling of 484757 in words is "four hundred eighty-four thousand, seven hundred fifty-seven".