512416 has 24 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 251328.

The previous prime is 512389. The next prime is 512419. The reversal of 512416 is 614215.

It is a junction number, because it is equal to n+sod(n) for n = 512393 and 512402.

It is not an unprimeable number, because it can be changed into a prime (512419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2025 + ... + 2263.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2⁵¹²⁴¹⁶ is an apocalyptic number.

It is an amenable number.

512416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

512416 is a wasteful number, since it uses less digits than its factorization.

512416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 512416 is about 715.8323826148. The cubic root of 512416 is about 80.0216608013.

Adding to 512416 its product of digits (240), we get a square (512656 = 716²).

It can be divided in two parts, 5 and 12416, that added together give a palindrome (12421).

The spelling of 512416 in words is "five hundred twelve thousand, four hundred sixteen".