504972468 has 336 divisors, whose sum is σ = 1789232256. Its totient is φ = 120372480.

The previous prime is 504972467. The next prime is 504972469. The reversal of 504972468 is 864279405.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (504972467) and next prime (504972469).

It is a super-2 number, since 2×504972468² = 509994386876022048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504972467) 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 111 ways as a sum of consecutive naturals, for example, 2918830 + ... + 2919002.

It is an arithmetic number, because the mean of its divisors is an integer number (5325096).

Almost surely, 2^504972468 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 504972468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894616128).

504972468 is an abundant number, since it is smaller than the sum of its proper divisors (1284259788).

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

504972468 is a wasteful number, since it uses less digits than its factorization.

504972468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 504972468 is about 22471.5924669348. The cubic root of 504972468 is about 796.3229521258.

The spelling of 504972468 in words is "five hundred four million, nine hundred seventy-two thousand, four hundred sixty-eight".