505764 has 60 divisors (see below), whose sum is σ = 1517824. Its totient is φ = 143856.

The previous prime is 505763. The next prime is 505777. The reversal of 505764 is 467505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505764.

It is not an unprimeable number, because it can be changed into a prime (505763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2157 + ... + 2379.

2⁵⁰⁵⁷⁶⁴ is an apocalyptic number.

505764 is a gapful number since it is divisible by the number (54) 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 505764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758912).

505764 is an abundant number, since it is smaller than the sum of its proper divisors (1012060).

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

505764 is a wasteful number, since it uses less digits than its factorization.

505764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 505764 is about 711.1708655450. The cubic root of 505764 is about 79.6738807175.

The spelling of 505764 in words is "five hundred five thousand, seven hundred sixty-four".