506747776 has 64 divisors (see below), whose sum is σ = 1078197120. Its totient is φ = 236662272.

The previous prime is 506747767. The next prime is 506747779. The reversal of 506747776 is 677747605.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506747779) 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 7 ways as a sum of consecutive naturals, for example, 124591 + ... + 128593.

It is an arithmetic number, because the mean of its divisors is an integer number (16846830).

Almost surely, 2^506747776 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 506747776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539098560).

506747776 is an abundant number, since it is smaller than the sum of its proper divisors (571449344).

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

506747776 is a wasteful number, since it uses less digits than its factorization.

506747776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 49.

The square root of 506747776 is about 22511.0589710924. The cubic root of 506747776 is about 797.2550590628.

The spelling of 506747776 in words is "five hundred six million, seven hundred forty-seven thousand, seven hundred seventy-six".