512424 has 48 divisors (see below), whose sum is σ = 1516320. Its totient is φ = 155040.

The previous prime is 512419. The next prime is 512429. The reversal of 512424 is 424215.

It is an interprime number because it is at equal distance from previous prime (512419) and next prime (512429).

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

It is a junction number, because it is equal to n+sod(n) for n = 512397 and 512406.

It is not an unprimeable number, because it can be changed into a prime (512429) by changing a digit.

512424 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 11 ways as a sum of consecutive naturals, for example, 469 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

2⁵¹²⁴²⁴ 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 512424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758160).

512424 is an abundant number, since it is smaller than the sum of its proper divisors (1003896).

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

512424 is a wasteful number, since it uses less digits than its factorization.

512424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 663 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 512424 is about 715.8379704933. The cubic root of 512424 is about 80.0220772402.

Adding to 512424 its reverse (424215), we get a palindrome (936639).

Subtracting from 512424 its reverse (424215), we obtain a square (88209 = 297²).

The spelling of 512424 in words is "five hundred twelve thousand, four hundred twenty-four".