505456848 has 200 divisors, whose sum is σ = 1659442400. Its totient is φ = 147246336.

The previous prime is 505456837. The next prime is 505456877. The reversal of 505456848 is 848654505.

505456848 is a `hidden beast` number, since 5 + 0 + 545 + 68 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319323 + ... + 320901.

It is an arithmetic number, because the mean of its divisors is an integer number (8297212).

Almost surely, 2^505456848 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 505456848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829721200).

505456848 is an abundant number, since it is smaller than the sum of its proper divisors (1153985552).

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

505456848 is a wasteful number, since it uses less digits than its factorization.

505456848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 505456848 is about 22482.3674909917. The cubic root of 505456848 is about 796.5774872214.

The spelling of 505456848 in words is "five hundred five million, four hundred fifty-six thousand, eight hundred forty-eight".