504742752 has 240 divisors, whose sum is σ = 1610587440. Its totient is φ = 154524672.

The previous prime is 504742747. The next prime is 504742757. The reversal of 504742752 is 257247405.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (504742747) and next prime (504742757).

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 (504742757) 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 39 ways as a sum of consecutive naturals, for example, 1822038 + ... + 1822314.

It is an arithmetic number, because the mean of its divisors is an integer number (6710781).

Almost surely, 2^504742752 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 504742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805293720).

504742752 is an abundant number, since it is smaller than the sum of its proper divisors (1105844688).

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

504742752 is a wasteful number, since it uses less digits than its factorization.

504742752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

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

The square root of 504742752 is about 22466.4806322664. The cubic root of 504742752 is about 796.2021825920.

The spelling of 504742752 in words is "five hundred four million, seven hundred forty-two thousand, seven hundred fifty-two".