506212288 has 56 divisors (see below), whose sum is σ = 1061841920. Its totient is φ = 238775040.

The previous prime is 506212283. The next prime is 506212327. The reversal of 506212288 is 882212605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506212283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343393 + ... + 344863.

Almost surely, 2^506212288 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 506212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530920960).

506212288 is an abundant number, since it is smaller than the sum of its proper divisors (555629632).

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

506212288 is a wasteful number, since it uses less digits than its factorization.

506212288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 506212288 is about 22499.1619399479. The cubic root of 506212288 is about 796.9741362820.

The spelling of 506212288 in words is "five hundred six million, two hundred twelve thousand, two hundred eighty-eight".