506533944 has 64 divisors (see below), whose sum is σ = 1451577600. Its totient is φ = 144290304.

The previous prime is 506533897. The next prime is 506533957. The reversal of 506533944 is 449335605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53952 + ... + 62640.

It is an arithmetic number, because the mean of its divisors is an integer number (22680900).

Almost surely, 2^506533944 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 506533944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725788800).

506533944 is an abundant number, since it is smaller than the sum of its proper divisors (945043656).

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

506533944 is a wasteful number, since it uses less digits than its factorization.

506533944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 506533944 is about 22506.3089821499. The cubic root of 506533944 is about 797.1429042352.

The spelling of 506533944 in words is "five hundred six million, five hundred thirty-three thousand, nine hundred forty-four".