506253460 has 48 divisors (see below), whose sum is σ = 1112219136. Its totient is φ = 193197312.

The previous prime is 506253431. The next prime is 506253481. The reversal of 506253460 is 64352605.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 211792 + ... + 214168.

It is an arithmetic number, because the mean of its divisors is an integer number (23171232).

Almost surely, 2^506253460 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 506253460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556109568).

506253460 is an abundant number, since it is smaller than the sum of its proper divisors (605965676).

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

506253460 is a wasteful number, since it uses less digits than its factorization.

506253460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 506253460 is about 22500.0768887575. The cubic root of 506253460 is about 796.9957425859.

The spelling of 506253460 in words is "five hundred six million, two hundred fifty-three thousand, four hundred sixty".