5252400 has 90 divisors (see below), whose sum is σ = 18239780. Its totient is φ = 1399680.

The previous prime is 5252389. The next prime is 5252411. The reversal of 5252400 is 42525.

It is an interprime number because it is at equal distance from previous prime (5252389) and next prime (5252411).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2871 + ... + 4329.

Almost surely, 2^5252400 is an apocalyptic number.

5252400 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 5252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119890).

5252400 is an abundant number, since it is smaller than the sum of its proper divisors (12987380).

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

5252400 is a wasteful number, since it uses less digits than its factorization.

5252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5252400 is about 2291.8115105741. The cubic root of 5252400 is about 173.8278122222.

5252400 divided by its product of nonzero digits (400) gives a palindrome (13131).

Adding to 5252400 its reverse (42525), we get a palindrome (5294925).

It can be divided in two parts, 5 and 252400, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 5252400 in words is "five million, two hundred fifty-two thousand, four hundred".