505862760 has 128 divisors (see below), whose sum is σ = 1651668480. Its totient is φ = 123199488.

The previous prime is 505862741. The next prime is 505862809. The reversal of 505862760 is 67268505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149649 + ... + 152991.

It is an arithmetic number, because the mean of its divisors is an integer number (12903660).

Almost surely, 2^505862760 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 505862760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825834240).

505862760 is an abundant number, since it is smaller than the sum of its proper divisors (1145805720).

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

505862760 is a wasteful number, since it uses less digits than its factorization.

505862760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 505862760 is about 22491.3930204423. The cubic root of 505862760 is about 796.7906632468.

The spelling of 505862760 in words is "five hundred five million, eight hundred sixty-two thousand, seven hundred sixty".