505534824 has 128 divisors (see below), whose sum is σ = 1488000000. Its totient is φ = 158583744.

The previous prime is 505534817. The next prime is 505534849. The reversal of 505534824 is 428435505.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816387 + ... + 817005.

It is an arithmetic number, because the mean of its divisors is an integer number (11625000).

Almost surely, 2^505534824 is an apocalyptic number.

505534824 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 505534824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744000000).

505534824 is an abundant number, since it is smaller than the sum of its proper divisors (982465176).

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

505534824 is a wasteful number, since it uses less digits than its factorization.

505534824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 505534824 is about 22484.1015831187. The cubic root of 505534824 is about 796.6184473499.

The spelling of 505534824 in words is "five hundred five million, five hundred thirty-four thousand, eight hundred twenty-four".