504963360 has 288 divisors, whose sum is σ = 1910563200. Its totient is φ = 120422400.

The previous prime is 504963343. The next prime is 504963379. The reversal of 504963360 is 63369405.

504963360 = 3003² + 3004² + ... + 3057².

504963360 is a `hidden beast` number, since 504 + 96 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124416 + ... + 1124864.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^504963360 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 504963360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955281600).

504963360 is an abundant number, since it is smaller than the sum of its proper divisors (1405599840).

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

504963360 is a wasteful number, since it uses less digits than its factorization.

504963360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 504963360 is about 22471.3898101564. The cubic root of 504963360 is about 796.3181644371.

The spelling of 504963360 in words is "five hundred four million, nine hundred sixty-three thousand, three hundred sixty".