504053280 has 480 divisors, whose sum is σ = 1975881600. Its totient is φ = 120434688.

The previous prime is 504053233. The next prime is 504053287. The reversal of 504053280 is 82350405.

504053280 is a `hidden beast` number, since 50 + 4 + 0 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (504053287) 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 79 ways as a sum of consecutive naturals, for example, 5663476 + ... + 5663564.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2^504053280 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 504053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987940800).

504053280 is an abundant number, since it is smaller than the sum of its proper divisors (1471828320).

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

504053280 is a wasteful number, since it uses less digits than its factorization.

504053280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 504053280 is about 22451.1309291982. The cubic root of 504053280 is about 795.8394834705.

The spelling of 504053280 in words is "five hundred four million, fifty-three thousand, two hundred eighty".