504468 has 42 divisors (see below), whose sum is σ = 1331274. Its totient is φ = 167184.

The previous prime is 504461. The next prime is 504473. The reversal of 504468 is 864405.

It can be written as a sum of positive squares in only one way, i.e., 492804 + 11664 = 702^2 + 108^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504461) by changing a digit.

504468 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 13 ways as a sum of consecutive naturals, for example, 2830 + ... + 3002.

It is an arithmetic number, because the mean of its divisors is an integer number (31697).

2⁵⁰⁴⁴⁶⁸ 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 504468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665637).

504468 is an abundant number, since it is smaller than the sum of its proper divisors (826806).

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

504468 is a wasteful number, since it uses less digits than its factorization.

504468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 504468 is about 710.2591076502. The cubic root of 504468 is about 79.6057687965.

The spelling of 504468 in words is "five hundred four thousand, four hundred sixty-eight".