505644720 has 480 divisors, whose sum is σ = 2008442880. Its totient is φ = 104509440.

The previous prime is 505644703. The next prime is 505644731. The reversal of 505644720 is 27446505.

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 95 ways as a sum of consecutive naturals, for example, 6926604 + ... + 6926676.

It is an arithmetic number, because the mean of its divisors is an integer number (4184256).

Almost surely, 2^505644720 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 505644720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004221440).

505644720 is an abundant number, since it is smaller than the sum of its proper divisors (1502798160).

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

505644720 is a wasteful number, since it uses less digits than its factorization.

505644720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 505644720 is about 22486.5453104740. The cubic root of 505644720 is about 796.6761676320.

The spelling of 505644720 in words is "five hundred five million, six hundred forty-four thousand, seven hundred twenty".