506024288 has 96 divisors (see below), whose sum is σ = 1296207360. Its totient is φ = 188559360.

The previous prime is 506024287. The next prime is 506024303. The reversal of 506024288 is 882420605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506024287) 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, 52208 + ... + 61136.

It is an arithmetic number, because the mean of its divisors is an integer number (13502160).

Almost surely, 2^506024288 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 506024288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648103680).

506024288 is an abundant number, since it is smaller than the sum of its proper divisors (790183072).

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

506024288 is a wasteful number, since it uses less digits than its factorization.

506024288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 506024288 is about 22494.9836185759. The cubic root of 506024288 is about 796.8754624690.

The spelling of 506024288 in words is "five hundred six million, twenty-four thousand, two hundred eighty-eight".