506450560 has 256 divisors, whose sum is σ = 1551052800. Its totient is φ = 153538560.

The previous prime is 506450543. The next prime is 506450611. The reversal of 506450560 is 65054605.

506450560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 2118921 + ... + 2119159.

It is an arithmetic number, because the mean of its divisors is an integer number (6058800).

Almost surely, 2^506450560 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 506450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775526400).

506450560 is an abundant number, since it is smaller than the sum of its proper divisors (1044602240).

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

506450560 is a wasteful number, since it uses less digits than its factorization.

506450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 506450560 is about 22504.4564475572. The cubic root of 506450560 is about 797.0991607952.

The spelling of 506450560 in words is "five hundred six million, four hundred fifty thousand, five hundred sixty".