522400 has 36 divisors (see below), whose sum is σ = 1277262. Its totient is φ = 208640.

The previous prime is 522391. The next prime is 522409. The reversal of 522400 is 4225.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (522391) and next prime (522409).

It can be written as a sum of positive squares in 3 ways, for example, as 318096 + 204304 = 564^2 + 452^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (522409) by changing a digit.

522400 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 5 ways as a sum of consecutive naturals, for example, 474 + ... + 1126.

2⁵²²⁴⁰⁰ is an apocalyptic number.

522400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638631).

522400 is an abundant number, since it is smaller than the sum of its proper divisors (754862).

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

522400 is a wasteful number, since it uses less digits than its factorization.

522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 522400 is about 722.7724399837. The cubic root of 522400 is about 80.5380399668.

Adding to 522400 its reverse (4225), we get a palindrome (526625).

The spelling of 522400 in words is "five hundred twenty-two thousand, four hundred".