505885824 has 160 divisors (see below), whose sum is σ = 1532876400. Its totient is φ = 165570048.

The previous prime is 505885823. The next prime is 505885837. The reversal of 505885824 is 428588505.

It is a self number, because there is not a number n which added to its sum of digits gives 505885824.

It is not an unprimeable number, because it can be changed into a prime (505885823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 611299 + ... + 612125.

Almost surely, 2^505885824 is an apocalyptic number.

505885824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505885824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766438200).

505885824 is an abundant number, since it is smaller than the sum of its proper divisors (1026990576).

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

505885824 is an equidigital number, since it uses as much as digits as its factorization.

505885824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The square root of 505885824 is about 22491.9057440671. The cubic root of 505885824 is about 796.8027725263.

The spelling of 505885824 in words is "five hundred five million, eight hundred eighty-five thousand, eight hundred twenty-four".