504752472 has 160 divisors (see below), whose sum is σ = 1626240000. Its totient is φ = 143280576.

The previous prime is 504752471. The next prime is 504752489. The reversal of 504752472 is 274257405.

It is a happy number.

It is a super-3 number, since 3×504752472³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504752471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1011279 + ... + 1011777.

It is an arithmetic number, because the mean of its divisors is an integer number (10164000).

Almost surely, 2^504752472 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 504752472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813120000).

504752472 is an abundant number, since it is smaller than the sum of its proper divisors (1121487528).

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

504752472 is a wasteful number, since it uses less digits than its factorization.

504752472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 504752472 is about 22466.6969534910. The cubic root of 504752472 is about 796.2072934697.

The spelling of 504752472 in words is "five hundred four million, seven hundred fifty-two thousand, four hundred seventy-two".