506246880 has 192 divisors, whose sum is σ = 1642975488. Its totient is φ = 130990080.

The previous prime is 506246821. The next prime is 506246933. The reversal of 506246880 is 88642605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3864415 + ... + 3864545.

It is an arithmetic number, because the mean of its divisors is an integer number (8557164).

Almost surely, 2^506246880 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 506246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821487744).

506246880 is an abundant number, since it is smaller than the sum of its proper divisors (1136728608).

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

506246880 is a wasteful number, since it uses less digits than its factorization.

506246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 506246880 is about 22499.9306665598. The cubic root of 506246880 is about 796.9922896022.

The spelling of 506246880 in words is "five hundred six million, two hundred forty-six thousand, eight hundred eighty".