504960 has 64 divisors (see below), whose sum is σ = 1615680. Its totient is φ = 134144.

The previous prime is 504953. The next prime is 504967. The reversal of 504960 is 69405.

It is an interprime number because it is at equal distance from previous prime (504953) and next prime (504967).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 504960.

It is not an unprimeable number, because it can be changed into a prime (504967) by changing a digit.

504960 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 7 ways as a sum of consecutive naturals, for example, 1789 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (25245).

2⁵⁰⁴⁹⁶⁰ 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 504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807840).

504960 is an abundant number, since it is smaller than the sum of its proper divisors (1110720).

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

504960 is a wasteful number, since it uses less digits than its factorization.

504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 504960 is about 710.6053757185. The cubic root of 504960 is about 79.6316398213.

The spelling of 504960 in words is "five hundred four thousand, nine hundred sixty".