504720 has 60 divisors (see below), whose sum is σ = 1697436. Its totient is φ = 134400.

The previous prime is 504683. The next prime is 504727. The reversal of 504720 is 27405.

It is a happy number.

504720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 186624 = 564^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 504693 and 504702.

It is not an unprimeable number, because it can be changed into a prime (504727) by changing a digit.

504720 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 11 ways as a sum of consecutive naturals, for example, 370 + ... + 1070.

2⁵⁰⁴⁷²⁰ 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 504720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848718).

504720 is an abundant number, since it is smaller than the sum of its proper divisors (1192716).

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

504720 is a wasteful number, since it uses less digits than its factorization.

504720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 504720 is about 710.4364855496. The cubic root of 504720 is about 79.6190219096.

The spelling of 504720 in words is "five hundred four thousand, seven hundred twenty".