504064 has 36 divisors (see below), whose sum is σ = 1103760. Its totient is φ = 227840.

The previous prime is 504061. The next prime is 504073. The reversal of 504064 is 460405.

It is not an unprimeable number, because it can be changed into a prime (504061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2727 + ... + 2905.

It is an arithmetic number, because the mean of its divisors is an integer number (30660).

2⁵⁰⁴⁰⁶⁴ 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 504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551880).

504064 is an abundant number, since it is smaller than the sum of its proper divisors (599696).

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

504064 is a wasteful number, since it uses less digits than its factorization.

504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 504064 is about 709.9746474347. The cubic root of 504064 is about 79.5845125294.

Adding to 504064 its reverse (460405), we get a palindrome (964469).

It can be divided in two parts, 50 and 4064, that added together give a palindrome (4114).

The spelling of 504064 in words is "five hundred four thousand, sixty-four".