512352 has 48 divisors (see below), whose sum is σ = 1496880. Its totient is φ = 170496.

The previous prime is 512333. The next prime is 512353. The reversal of 512352 is 253215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512353) by changing a digit.

512352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (31185).

2⁵¹²³⁵² 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 512352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748440).

512352 is an abundant number, since it is smaller than the sum of its proper divisors (984528).

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

512352 is a wasteful number, since it uses less digits than its factorization.

512352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 512352 is about 715.7876780163. The cubic root of 512352 is about 80.0183291335.

Adding to 512352 its reverse (253215), we get a palindrome (765567).

The spelling of 512352 in words is "five hundred twelve thousand, three hundred fifty-two".