505895488 has 112 divisors (see below), whose sum is σ = 1239194880. Its totient is φ = 200116224.

The previous prime is 505895477. The next prime is 505895563. The reversal of 505895488 is 884598505.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297970 + ... + 299662.

It is an arithmetic number, because the mean of its divisors is an integer number (11064240).

Almost surely, 2^505895488 is an apocalyptic number.

505895488 is a gapful number since it is divisible by the number (58) 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 505895488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619597440).

505895488 is an abundant number, since it is smaller than the sum of its proper divisors (733299392).

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

505895488 is a wasteful number, since it uses less digits than its factorization.

505895488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 52.

The square root of 505895488 is about 22492.1205758817. The cubic root of 505895488 is about 796.8078463016.

The spelling of 505895488 in words is "five hundred five million, eight hundred ninety-five thousand, four hundred eighty-eight".