504606960 has 480 divisors, whose sum is σ = 2071742400. Its totient is φ = 109025280.

The previous prime is 504606877. The next prime is 504606961. The reversal of 504606960 is 69606405.

It is a happy number.

504606960 is a `hidden beast` number, since 504 + 60 + 6 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504606961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17400226 + ... + 17400254.

It is an arithmetic number, because the mean of its divisors is an integer number (4316130).

Almost surely, 2^504606960 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 504606960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035871200).

504606960 is an abundant number, since it is smaller than the sum of its proper divisors (1567135440).

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

504606960 is a wasteful number, since it uses less digits than its factorization.

504606960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 504606960 is about 22463.4583268027. The cubic root of 504606960 is about 796.1307748742.

The spelling of 504606960 in words is "five hundred four million, six hundred six thousand, nine hundred sixty".