505966944 has 144 divisors (see below), whose sum is σ = 1598713200. Its totient is φ = 139539456.

The previous prime is 505966943. The next prime is 505966957. The reversal of 505966944 is 449669505.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 505966893 and 505966902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505966943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134562 + ... + 138270.

It is an arithmetic number, because the mean of its divisors is an integer number (11102175).

Almost surely, 2^505966944 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 505966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799356600).

505966944 is an abundant number, since it is smaller than the sum of its proper divisors (1092746256).

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

505966944 is a wasteful number, since it uses less digits than its factorization.

505966944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 505966944 is about 22493.7089871813. The cubic root of 505966944 is about 796.8453599925.

The spelling of 505966944 in words is "five hundred five million, nine hundred sixty-six thousand, nine hundred forty-four".