506140410 has 64 divisors (see below), whose sum is σ = 1265679360. Its totient is φ = 129392640.

The previous prime is 506140387. The next prime is 506140417. The reversal of 506140410 is 14041605.

It is a super-2 number, since 2×506140410² = 512356229269936200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506140417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98874 + ... + 103866.

It is an arithmetic number, because the mean of its divisors is an integer number (19776240).

Almost surely, 2^506140410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506140410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632839680).

506140410 is an abundant number, since it is smaller than the sum of its proper divisors (759538950).

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

506140410 is a wasteful number, since it uses less digits than its factorization.

506140410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 506140410 is about 22497.5645348558. The cubic root of 506140410 is about 796.9364132292.

The spelling of 506140410 in words is "five hundred six million, one hundred forty thousand, four hundred ten".