6252400 has 180 divisors, whose sum is σ = 19719720. Its totient is φ = 1881600.

The previous prime is 6252391. The next prime is 6252401. The reversal of 6252400 is 42526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6252401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215586 + ... + 215614.

It is an arithmetic number, because the mean of its divisors is an integer number (109554).

Almost surely, 2^6252400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9859860).

6252400 is an abundant number, since it is smaller than the sum of its proper divisors (13467320).

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

6252400 is a wasteful number, since it uses less digits than its factorization.

6252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

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

The square root of 6252400 is about 2500.4799539288. The cubic root of 6252400 is about 184.2251497163.

Adding to 6252400 its reverse (42526), we get a palindrome (6294926).

It can be divided in two parts, 625 and 2400, that added together give a square (3025 = 55²).

The spelling of 6252400 in words is "six million, two hundred fifty-two thousand, four hundred".