504302832 has 180 divisors, whose sum is σ = 1571951472. Its totient is φ = 150796800.

The previous prime is 504302801. The next prime is 504302833. The reversal of 504302832 is 238203405.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 504302796 and 504302805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504302833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1794532 + ... + 1794812.

Almost surely, 2^504302832 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 504302832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785975736).

504302832 is an abundant number, since it is smaller than the sum of its proper divisors (1067648640).

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

504302832 is a wasteful number, since it uses less digits than its factorization.

504302832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 504302832 is about 22456.6879125128. The cubic root of 504302832 is about 795.9707993295.

The spelling of 504302832 in words is "five hundred four million, three hundred two thousand, eight hundred thirty-two".