504972959400 has 1152 divisors, whose sum is σ = 2209914806400. Its totient is φ = 105031987200.

The previous prime is 504972959341. The next prime is 504972959417. The reversal of 504972959400 is 4959279405.

504972959400 is a `hidden beast` number, since 5 + 0 + 49 + 7 + 2 + 9 + 594 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 251104395 + ... + 251106405.

It is an arithmetic number, because the mean of its divisors is an integer number (1918328825).

Almost surely, 2^504972959400 is an apocalyptic number.

504972959400 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 504972959400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104957403200).

504972959400 is an abundant number, since it is smaller than the sum of its proper divisors (1704941847000).

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

504972959400 is a wasteful number, since it uses less digits than its factorization.

504972959400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 504972959400 in words is "five hundred four billion, nine hundred seventy-two million, nine hundred fifty-nine thousand, four hundred".