504610560 has 360 divisors, whose sum is σ = 1875705216. Its totient is φ = 129392640.

The previous prime is 504610553. The next prime is 504610573. The reversal of 504610560 is 65016405.

It is a happy number.

504610560 is a `hidden beast` number, since 50 + 46 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3214002 + ... + 3214158.

Almost surely, 2^504610560 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 504610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937852608).

504610560 is an abundant number, since it is smaller than the sum of its proper divisors (1371094656).

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

504610560 is a wasteful number, since it uses less digits than its factorization.

504610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 504610560 is about 22463.5384567971. The cubic root of 504610560 is about 796.1326681391.

Adding to 504610560 its reverse (65016405), we get a palindrome (569626965).

The spelling of 504610560 in words is "five hundred four million, six hundred ten thousand, five hundred sixty".