504981 has 16 divisors (see below), whose sum is σ = 763200. Its totient is φ = 329904.

The previous prime is 504967. The next prime is 504983. The reversal of 504981 is 189405.

504981 = 21³ + 22³ + ... + 38³.

It is not a de Polignac number, because 504981 - 2⁷ = 504853 is a prime.

It is a super-2 number, since 2×504981² = 510011620722, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504983) 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 15 ways as a sum of consecutive naturals, for example, 1435 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (47700).

2⁵⁰⁴⁹⁸¹ is an apocalyptic number.

It is an amenable number.

504981 is a deficient number, since it is larger than the sum of its proper divisors (258219).

504981 is a wasteful number, since it uses less digits than its factorization.

504981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 504981 is about 710.6201516985. The cubic root of 504981 is about 79.6327436984.

It can be divided in two parts, 504 and 981, that added together give a triangular number (1485 = T₅₄).

The spelling of 504981 in words is "five hundred four thousand, nine hundred eighty-one".