504348768 has 540 divisors, whose sum is σ = 1986584292. Its totient is φ = 124104960.

The previous prime is 504348743. The next prime is 504348791. The reversal of 504348768 is 867843405.

504348768 is a `hidden beast` number, since 504 + 3 + 4 + 87 + 68 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 26544663 + ... + 26544681.

Almost surely, 2^504348768 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 504348768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993292146).

504348768 is an abundant number, since it is smaller than the sum of its proper divisors (1482235524).

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

504348768 is a wasteful number, since it uses less digits than its factorization.

504348768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 504348768 is about 22457.7106580346. The cubic root of 504348768 is about 795.9949664252.

The spelling of 504348768 in words is "five hundred four million, three hundred forty-eight thousand, seven hundred sixty-eight".