506950080 has 336 divisors, whose sum is σ = 2018812320. Its totient is φ = 106831872.

The previous prime is 506950079. The next prime is 506950109. The reversal of 506950080 is 80059605.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×506950080² = 513996767224012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611106 + ... + 611934.

It is an arithmetic number, because the mean of its divisors is an integer number (6008370).

Almost surely, 2^506950080 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 506950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009406160).

506950080 is an abundant number, since it is smaller than the sum of its proper divisors (1511862240).

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

506950080 is a wasteful number, since it uses less digits than its factorization.

506950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 506950080 is about 22515.5519585908. The cubic root of 506950080 is about 797.3611384161.

The spelling of 506950080 in words is "five hundred six million, nine hundred fifty thousand, eighty".