5652400 has 60 divisors (see below), whose sum is σ = 14637952. Its totient is φ = 2085120.

The previous prime is 5652349. The next prime is 5652401. The reversal of 5652400 is 42565.

5652400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (5652401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4657 + ... + 5743.

Almost surely, 2^5652400 is an apocalyptic number.

5652400 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 5652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318976).

5652400 is an abundant number, since it is smaller than the sum of its proper divisors (8985552).

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

5652400 is a wasteful number, since it uses less digits than its factorization.

5652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5652400 is about 2377.4776549949. The cubic root of 5652400 is about 178.1329646587.

Adding to 5652400 its reverse (42565), we get a palindrome (5694965).

The spelling of 5652400 in words is "five million, six hundred fifty-two thousand, four hundred".