506224664 has 64 divisors (see below), whose sum is σ = 1096899840. Its totient is φ = 216754560.

The previous prime is 506224651. The next prime is 506224673. The reversal of 506224664 is 466422605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133742 + ... + 137474.

It is an arithmetic number, because the mean of its divisors is an integer number (17139060).

Almost surely, 2^506224664 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 506224664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548449920).

506224664 is an abundant number, since it is smaller than the sum of its proper divisors (590675176).

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

506224664 is a wasteful number, since it uses less digits than its factorization.

506224664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 506224664 is about 22499.4369707333. The cubic root of 506224664 is about 796.9806311010.

The spelling of 506224664 in words is "five hundred six million, two hundred twenty-four thousand, six hundred sixty-four".