506254840 has 128 divisors (see below), whose sum is σ = 1463132160. Its totient is φ = 153229824.

The previous prime is 506254789. The next prime is 506254841. The reversal of 506254840 is 48452605.

It is a junction number, because it is equal to n+sod(n) for n = 506254796 and 506254805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506254841) 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, 80697 + ... + 86743.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 2^506254840 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 506254840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731566080).

506254840 is an abundant number, since it is smaller than the sum of its proper divisors (956877320).

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

506254840 is a wasteful number, since it uses less digits than its factorization.

506254840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 506254840 is about 22500.1075552985. The cubic root of 506254840 is about 796.9964667640.

The spelling of 506254840 in words is "five hundred six million, two hundred fifty-four thousand, eight hundred forty".