504498960 has 240 divisors, whose sum is σ = 1999395840. Its totient is φ = 111559680.

The previous prime is 504498937. The next prime is 504498989. The reversal of 504498960 is 69894405.

It is a happy number.

504498960 is a `hidden beast` number, since 504 + 4 + 9 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 154626 + ... + 157854.

It is an arithmetic number, because the mean of its divisors is an integer number (8330816).

Almost surely, 2^504498960 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 504498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999697920).

504498960 is an abundant number, since it is smaller than the sum of its proper divisors (1494896880).

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

504498960 is a wasteful number, since it uses less digits than its factorization.

504498960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 504498960 is about 22461.0542940442. The cubic root of 504498960 is about 796.0739727388.

The spelling of 504498960 in words is "five hundred four million, four hundred ninety-eight thousand, nine hundred sixty".