5222400 has 156 divisors (see below), whose sum is σ = 18282312. Its totient is φ = 1310720.

The previous prime is 5222363. The next prime is 5222401. The reversal of 5222400 is 42225.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5222400.

It is not an unprimeable number, because it can be changed into a prime (5222401) 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, 307192 + ... + 307208.

Almost surely, 2^5222400 is an apocalyptic number.

5222400 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 5222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141156).

5222400 is an abundant number, since it is smaller than the sum of its proper divisors (13059912).

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

5222400 is a wasteful number, since it uses less digits than its factorization.

5222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 5222400 is about 2285.2570971337. The cubic root of 5222400 is about 173.4962308200.

5222400 divided by its product of nonzero digits (160) gives a triangular number (32640 = T₂₅₅).

Adding to 5222400 its reverse (42225), we get a palindrome (5264625).

The spelling of 5222400 in words is "five million, two hundred twenty-two thousand, four hundred".