506747080 has 128 divisors (see below), whose sum is σ = 1363968000. Its totient is φ = 165784320.

The previous prime is 506747053. The next prime is 506747099. The reversal of 506747080 is 80747605.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 685351 + ... + 686089.

It is an arithmetic number, because the mean of its divisors is an integer number (10656000).

Almost surely, 2^506747080 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 506747080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681984000).

506747080 is an abundant number, since it is smaller than the sum of its proper divisors (857220920).

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

506747080 is a wasteful number, since it uses less digits than its factorization.

506747080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 506747080 is about 22511.0435120187. The cubic root of 506747080 is about 797.2546940621.

The spelling of 506747080 in words is "five hundred six million, seven hundred forty-seven thousand, eighty".