506628390 has 64 divisors (see below), whose sum is σ = 1318887360. Its totient is φ = 124047360.

The previous prime is 506628371. The next prime is 506628391. The reversal of 506628390 is 93826605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506628391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8796 + ... + 33024.

It is an arithmetic number, because the mean of its divisors is an integer number (20607615).

Almost surely, 2^506628390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506628390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659443680).

506628390 is an abundant number, since it is smaller than the sum of its proper divisors (812258970).

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

506628390 is a wasteful number, since it uses less digits than its factorization.

506628390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24297.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 506628390 is about 22508.4070960164. The cubic root of 506628390 is about 797.1924450283.

The spelling of 506628390 in words is "five hundred six million, six hundred twenty-eight thousand, three hundred ninety".