5122400 has 72 divisors (see below), whose sum is σ = 13202280. Its totient is φ = 1935360.

The previous prime is 5122393. The next prime is 5122421. The reversal of 5122400 is 42215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15032 + ... + 15368.

It is an arithmetic number, because the mean of its divisors is an integer number (183365).

Almost surely, 2^5122400 is an apocalyptic number.

5122400 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 5122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601140).

5122400 is an abundant number, since it is smaller than the sum of its proper divisors (8079880).

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

5122400 is a wasteful number, since it uses less digits than its factorization.

5122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

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

The square root of 5122400 is about 2263.2719677493. The cubic root of 5122400 is about 172.3817014294.

Adding to 5122400 its reverse (42215), we get a palindrome (5164615).

The spelling of 5122400 in words is "five million, one hundred twenty-two thousand, four hundred".