504927540 has 192 divisors, whose sum is σ = 1791659520. Its totient is φ = 116951040.

The previous prime is 504927539. The next prime is 504927547. The reversal of 504927540 is 45729405.

504927540 is a `hidden beast` number, since 50 + 49 + 27 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 504927495 and 504927504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504927547) 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 63 ways as a sum of consecutive naturals, for example, 117225 + ... + 121455.

It is an arithmetic number, because the mean of its divisors is an integer number (9331560).

Almost surely, 2^504927540 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 504927540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895829760).

504927540 is an abundant number, since it is smaller than the sum of its proper divisors (1286731980).

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

504927540 is a wasteful number, since it uses less digits than its factorization.

504927540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 504927540 is about 22470.5927825681. The cubic root of 504927540 is about 796.2993348259.

The spelling of 504927540 in words is "five hundred four million, nine hundred twenty-seven thousand, five hundred forty".