521244400 has 120 divisors (see below), whose sum is σ = 1332637920. Its totient is φ = 195486720.

The previous prime is 521244391. The next prime is 521244407. The reversal of 521244400 is 4442125.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521244407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487066 + ... + 488134.

It is an arithmetic number, because the mean of its divisors is an integer number (11105316).

Almost surely, 2^521244400 is an apocalyptic number.

521244400 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 521244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666318960).

521244400 is an abundant number, since it is smaller than the sum of its proper divisors (811393520).

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

521244400 is a wasteful number, since it uses less digits than its factorization.

521244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 521244400 is about 22830.7774725260. Note that the first 3 decimals coincide. The cubic root of 521244400 is about 804.7861011108.

Adding to 521244400 its reverse (4442125), we get a palindrome (525686525).

The spelling of 521244400 in words is "five hundred twenty-one million, two hundred forty-four thousand, four hundred".