504856638 has 320 divisors, whose sum is σ = 1483130880. Its totient is φ = 125971200.

The previous prime is 504856549. The next prime is 504856661. The reversal of 504856638 is 836658405.

504856638 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 5 + 6 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 504856593 and 504856602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13644756 + ... + 13644792.

It is an arithmetic number, because the mean of its divisors is an integer number (4634784).

Almost surely, 2^504856638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504856638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741565440).

504856638 is an abundant number, since it is smaller than the sum of its proper divisors (978274242).

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

504856638 is a wasteful number, since it uses less digits than its factorization.

504856638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 504856638 is about 22469.0150651959. The cubic root of 504856638 is about 796.2620609243.

The spelling of 504856638 in words is "five hundred four million, eight hundred fifty-six thousand, six hundred thirty-eight".