506106456 has 64 divisors (see below), whose sum is σ = 1348397280. Its totient is φ = 157747200.

The previous prime is 506106449. The next prime is 506106457. The reversal of 506106456 is 654601605.

It is a super-2 number, since 2×506106456² = 512287489609759872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506106457) 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 15 ways as a sum of consecutive naturals, for example, 60106 + ... + 68006.

Almost surely, 2^506106456 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 506106456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674198640).

506106456 is an abundant number, since it is smaller than the sum of its proper divisors (842290824).

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

506106456 is a wasteful number, since it uses less digits than its factorization.

506106456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084 (or 8080 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 506106456 is about 22496.8099071846. The cubic root of 506106456 is about 796.9185922297.

The spelling of 506106456 in words is "five hundred six million, one hundred six thousand, four hundred fifty-six".