504096 has 48 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 163328.

The previous prime is 504073. The next prime is 504103. The reversal of 504096 is 690405.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×504096² = 508225554432, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5620 + ... + 5708.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁵⁰⁴⁰⁹⁶ 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 504096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

504096 is an abundant number, since it is smaller than the sum of its proper divisors (856704).

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

504096 is a wasteful number, since it uses less digits than its factorization.

504096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

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

The square root of 504096 is about 709.9971830930. The cubic root of 504096 is about 79.5861966082.

The spelling of 504096 in words is "five hundred four thousand, ninety-six".