506545776 has 120 divisors (see below), whose sum is σ = 1627991040. Its totient is φ = 145411200.

The previous prime is 506545771. The next prime is 506545777. The reversal of 506545776 is 677545605.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506545771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21681 + ... + 38511.

It is an arithmetic number, because the mean of its divisors is an integer number (13566592).

Almost surely, 2^506545776 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 506545776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813995520).

506545776 is an abundant number, since it is smaller than the sum of its proper divisors (1121445264).

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

506545776 is a wasteful number, since it uses less digits than its factorization.

506545776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16875 (or 16866 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 506545776 is about 22506.5718402426. The cubic root of 506545776 is about 797.1491109409.

The spelling of 506545776 in words is "five hundred six million, five hundred forty-five thousand, seven hundred seventy-six".