503378568 has 384 divisors, whose sum is σ = 1853280000. Its totient is φ = 121927680.

The previous prime is 503378567. The next prime is 503378573. The reversal of 503378568 is 865873305.

503378568 is a `hidden beast` number, since 50 + 3 + 37 + 8 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503378563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4618098 + ... + 4618206.

It is an arithmetic number, because the mean of its divisors is an integer number (4826250).

Almost surely, 2^503378568 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 503378568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926640000).

503378568 is an abundant number, since it is smaller than the sum of its proper divisors (1349901432).

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

503378568 is a wasteful number, since it uses less digits than its factorization.

503378568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 503378568 is about 22436.0996610373. The cubic root of 503378568 is about 795.4842285554.

The spelling of 503378568 in words is "five hundred three million, three hundred seventy-eight thousand, five hundred sixty-eight".