5202400 has 72 divisors (see below), whose sum is σ = 14530320. Its totient is φ = 1781760.

The previous prime is 5202377. The next prime is 5202413. The reversal of 5202400 is 42025.

It is a happy number.

5202400 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-3 number, since 3×5202400³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 5136 + ... + 6064.

It is an arithmetic number, because the mean of its divisors is an integer number (201810).

Almost surely, 2^5202400 is an apocalyptic number.

5202400 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 5202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265160).

5202400 is an abundant number, since it is smaller than the sum of its proper divisors (9327920).

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

5202400 is a wasteful number, since it uses less digits than its factorization.

5202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 5202400 is about 2280.8770243045. The cubic root of 5202400 is about 173.2744704796.

Adding to 5202400 its reverse (42025), we get a palindrome (5244425).

The spelling of 5202400 in words is "five million, two hundred two thousand, four hundred".