505059520 has 112 divisors (see below), whose sum is σ = 1446946560. Its totient is φ = 164035584.

The previous prime is 505059497. The next prime is 505059521. The reversal of 505059520 is 25950505.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (505059521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36627 + ... + 48493.

Almost surely, 2^505059520 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 505059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723473280).

505059520 is an abundant number, since it is smaller than the sum of its proper divisors (941887040).

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

505059520 is a wasteful number, since it uses less digits than its factorization.

505059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11910 (or 11900 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 31.

The square root of 505059520 is about 22473.5293178441. The cubic root of 505059520 is about 796.3687087608.

It can be divided in two parts, 50505 and 9520, that added together give a square (60025 = 245²).

The spelling of 505059520 in words is "five hundred five million, fifty-nine thousand, five hundred twenty".