504418473090 has 256 divisors, whose sum is σ = 1546391347200. Its totient is φ = 114614072064.

The previous prime is 504418473071. The next prime is 504418473131. The reversal of 504418473090 is 90374814405.

504418473090 is a `hidden beast` number, since 50 + 4 + 41 + 8 + 473 + 0 + 90 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 326906859 + ... + 326908401.

It is an arithmetic number, because the mean of its divisors is an integer number (6040591200).

Almost surely, 2^504418473090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504418473090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773195673600).

504418473090 is an abundant number, since it is smaller than the sum of its proper divisors (1041972874110).

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

504418473090 is a wasteful number, since it uses less digits than its factorization.

504418473090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 504418473090 in words is "five hundred four billion, four hundred eighteen million, four hundred seventy-three thousand, ninety".