505857444 has 48 divisors (see below), whose sum is σ = 1257473280. Its totient is φ = 157813920.

The previous prime is 505857427. The next prime is 505857449. The reversal of 505857444 is 444758505.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 505857396 and 505857405.

It is not an unprimeable number, because it can be changed into a prime (505857449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5559 + ... + 32289.

It is an arithmetic number, because the mean of its divisors is an integer number (26197360).

Almost surely, 2^505857444 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 505857444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628736640).

505857444 is an abundant number, since it is smaller than the sum of its proper divisors (751615836).

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

505857444 is a wasteful number, since it uses less digits than its factorization.

505857444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26840 (or 26838 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The square root of 505857444 is about 22491.2748415913. The cubic root of 505857444 is about 796.7878721380.

The spelling of 505857444 in words is "five hundred five million, eight hundred fifty-seven thousand, four hundred forty-four".