504339696 has 320 divisors, whose sum is σ = 1757030400. Its totient is φ = 137168640.

The previous prime is 504339691. The next prime is 504339707. The reversal of 504339696 is 696933405.

It is a happy number.

It is a super-2 number, since 2×504339696² = 508717057922744832, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504339691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7103341 + ... + 7103411.

It is an arithmetic number, because the mean of its divisors is an integer number (5490720).

Almost surely, 2^504339696 is an apocalyptic number.

504339696 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 504339696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878515200).

504339696 is an abundant number, since it is smaller than the sum of its proper divisors (1252690704).

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

504339696 is an equidigital number, since it uses as much as digits as its factorization.

504339696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 504339696 is about 22457.5086775003. The cubic root of 504339696 is about 795.9901937295.

The spelling of 504339696 in words is "five hundred four million, three hundred thirty-nine thousand, six hundred ninety-six".