505253440 has 112 divisors (see below), whose sum is σ = 1250460288. Its totient is φ = 194310144.

The previous prime is 505253417. The next prime is 505253449. The reversal of 505253440 is 44352505.

It is a junction number, because it is equal to n+sod(n) for n = 505253399 and 505253408.

It is not an unprimeable number, because it can be changed into a prime (505253449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1004229 + ... + 1004731.

It is an arithmetic number, because the mean of its divisors is an integer number (11164824).

Almost surely, 2^505253440 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 505253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625230144).

505253440 is an abundant number, since it is smaller than the sum of its proper divisors (745206848).

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

505253440 is a wasteful number, since it uses less digits than its factorization.

505253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 505253440 is about 22477.8433129159. The cubic root of 505253440 is about 796.4706189008.

The spelling of 505253440 in words is "five hundred five million, two hundred fifty-three thousand, four hundred forty".