506454168 has 64 divisors (see below), whose sum is σ = 1386357120. Its totient is φ = 152902400.

The previous prime is 506454149. The next prime is 506454199. The reversal of 506454168 is 861454605.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70771 + ... + 77597.

It is an arithmetic number, because the mean of its divisors is an integer number (21661830).

Almost surely, 2^506454168 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 506454168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693178560).

506454168 is an abundant number, since it is smaller than the sum of its proper divisors (879902952).

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

506454168 is a wasteful number, since it uses less digits than its factorization.

506454168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 506454168 is about 22504.5366093150. The cubic root of 506454168 is about 797.1010536597.

The spelling of 506454168 in words is "five hundred six million, four hundred fifty-four thousand, one hundred sixty-eight".