504896 has 56 divisors (see below), whose sum is σ = 1219200. Its totient is φ = 206976.

The previous prime is 504893. The next prime is 504901. The reversal of 504896 is 698405.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21941 + ... + 21963.

2⁵⁰⁴⁸⁹⁶ is an apocalyptic number.

504896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609600).

504896 is an abundant number, since it is smaller than the sum of its proper divisors (714304).

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

504896 is an equidigital number, since it uses as much as digits as its factorization.

504896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 504896 is about 710.5603422652. The cubic root of 504896 is about 79.6282754358.

It can be divided in two parts, 504 and 896, that multiplied together give a square (451584 = 672²).

The spelling of 504896 in words is "five hundred four thousand, eight hundred ninety-six".