524416 has 32 divisors (see below), whose sum is σ = 1110780. Its totient is φ = 245760.

The previous prime is 524413. The next prime is 524429. The reversal of 524416 is 614425.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 40000 = 696^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2056 + ... + 2296.

524416 is a Friedman number, since it can be written as (4+4^(6+1))*2^5, using all its digits and the basic arithmetic operations.

2⁵²⁴⁴¹⁶ 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 524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555390).

524416 is an abundant number, since it is smaller than the sum of its proper divisors (586364).

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

524416 is a wasteful number, since it uses less digits than its factorization.

524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 524416 is about 724.1657268885. The cubic root of 524416 is about 80.6415087481.

Subtracting 524416 from its reverse (614425), we obtain a palindrome (90009).

The spelling of 524416 in words is "five hundred twenty-four thousand, four hundred sixteen".