506035488 has 96 divisors (see below), whose sum is σ = 1535345280. Its totient is φ = 142940160.

The previous prime is 506035483. The next prime is 506035499. The reversal of 506035488 is 884530605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (506035483) 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, 55578 + ... + 64038.

It is an arithmetic number, because the mean of its divisors is an integer number (15993180).

Almost surely, 2^506035488 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 506035488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767672640).

506035488 is an abundant number, since it is smaller than the sum of its proper divisors (1029309792).

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

506035488 is a wasteful number, since it uses less digits than its factorization.

506035488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8570 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 506035488 is about 22495.2325615896. The cubic root of 506035488 is about 796.8813415935.

The spelling of 506035488 in words is "five hundred six million, thirty-five thousand, four hundred eighty-eight".