504840960 has 216 divisors, whose sum is σ = 1881616464. Its totient is φ = 124231680.

The previous prime is 504840937. The next prime is 504840967. The reversal of 504840960 is 69048405.

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

It is not an unprimeable number, because it can be changed into a prime (504840967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 148075 + ... + 151445.

Almost surely, 2^504840960 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 504840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940808232).

504840960 is an abundant number, since it is smaller than the sum of its proper divisors (1376775504).

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

504840960 is a wasteful number, since it uses less digits than its factorization.

504840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 504840960 is about 22468.6661820412. Note that the first 3 decimals coincide. The cubic root of 504840960 is about 796.2538183693.

The spelling of 504840960 in words is "five hundred four million, eight hundred forty thousand, nine hundred sixty".