505757560 has 128 divisors (see below), whose sum is σ = 1464791040. Its totient is φ = 152524800.

The previous prime is 505757537. The next prime is 505757563. The reversal of 505757560 is 65757505.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505757563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92832 + ... + 98128.

It is an arithmetic number, because the mean of its divisors is an integer number (11443680).

Almost surely, 2^505757560 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 505757560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732395520).

505757560 is an abundant number, since it is smaller than the sum of its proper divisors (959033480).

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

505757560 is a wasteful number, since it uses less digits than its factorization.

505757560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 183750, while the sum is 40.

The square root of 505757560 is about 22489.0542264454. The cubic root of 505757560 is about 796.7354254790.

The spelling of 505757560 in words is "five hundred five million, seven hundred fifty-seven thousand, five hundred sixty".