506221920 has 384 divisors, whose sum is σ = 1923626880. Its totient is φ = 123863040.

The previous prime is 506221889. The next prime is 506221949. The reversal of 506221920 is 29122605.

506221920 is a `hidden beast` number, since 5 + 0 + 622 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 4479784 + ... + 4479896.

It is an arithmetic number, because the mean of its divisors is an integer number (5009445).

Almost surely, 2^506221920 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 506221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961813440).

506221920 is an abundant number, since it is smaller than the sum of its proper divisors (1417404960).

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

506221920 is a wasteful number, since it uses less digits than its factorization.

506221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 506221920 is about 22499.3759913470. The cubic root of 506221920 is about 796.9791910823.

The spelling of 506221920 in words is "five hundred six million, two hundred twenty-one thousand, nine hundred twenty".