504896000 has 320 divisors, whose sum is σ = 1532044800. Its totient is φ = 165580800.

The previous prime is 504895999. The next prime is 504896033. The reversal of 504896000 is 698405.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21951989 + ... + 21952011.

It is an arithmetic number, because the mean of its divisors is an integer number (4787640).

Almost surely, 2^504896000 is an apocalyptic number.

504896000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766022400).

504896000 is an abundant number, since it is smaller than the sum of its proper divisors (1027148800).

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

504896000 is an frugal number, since it uses more digits than its factorization.

504896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 504896000 is about 22469.8909654675. The cubic root of 504896000 is about 796.2827543584.

The spelling of 504896000 in words is "five hundred four million, eight hundred ninety-six thousand".