5212400 has 60 divisors (see below), whose sum is σ = 12754392. Its totient is φ = 2046720.

The previous prime is 5212393. The next prime is 5212409. The reversal of 5212400 is 42125.

5212400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5212400² = 54338227520000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5212409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33122 + ... + 33278.

Almost surely, 2^5212400 is an apocalyptic number.

5212400 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 5212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377196).

5212400 is an abundant number, since it is smaller than the sum of its proper divisors (7541992).

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

5212400 is a wasteful number, since it uses less digits than its factorization.

5212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5212400 is about 2283.0681111171. The cubic root of 5212400 is about 173.3854215578.

Adding to 5212400 its reverse (42125), we get a palindrome (5254525).

The spelling of 5212400 in words is "five million, two hundred twelve thousand, four hundred".