5622400 has 96 divisors (see below), whose sum is σ = 15936480. Its totient is φ = 1920000.

The previous prime is 5622391. The next prime is 5622401. The reversal of 5622400 is 42265.

It is a super-2 number, since 2×5622400² = 63222763520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5622401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22275 + ... + 22525.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 2^5622400 is an apocalyptic number.

5622400 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 5622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240).

5622400 is an abundant number, since it is smaller than the sum of its proper divisors (10314080).

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

5622400 is a wasteful number, since it uses less digits than its factorization.

5622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5622400 is about 2371.1600536446. The cubic root of 5622400 is about 177.8172597495.

Adding to 5622400 its reverse (42265), we get a palindrome (5664665).

It can be divided in two parts, 56 and 22400, that multiplied together give a square (1254400 = 1120²).

The spelling of 5622400 in words is "five million, six hundred twenty-two thousand, four hundred".