505752 has 32 divisors (see below), whose sum is σ = 1362480. Its totient is φ = 155520.

The previous prime is 505727. The next prime is 505759. The reversal of 505752 is 257505.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499 + ... + 1122.

2⁵⁰⁵⁷⁵² is an apocalyptic number.

505752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

505752 is an abundant number, since it is smaller than the sum of its proper divisors (856728).

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

505752 is a wasteful number, since it uses less digits than its factorization.

505752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 505752 is about 711.1624287039. The cubic root of 505752 is about 79.6732505855.

The spelling of 505752 in words is "five hundred five thousand, seven hundred fifty-two".