4251200 has 42 divisors (see below), whose sum is σ = 10464546. Its totient is φ = 1699840.

The previous prime is 4251199. The next prime is 4251223. The reversal of 4251200 is 21524.

It can be written as a sum of positive squares in 3 ways, for example, as 440896 + 3810304 = 664^2 + 1952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 272 + ... + 2928.

Almost surely, 2^4251200 is an apocalyptic number.

4251200 is a gapful number since it is divisible by the number (40) 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 4251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232273).

4251200 is an abundant number, since it is smaller than the sum of its proper divisors (6213346).

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

4251200 is a wasteful number, since it uses less digits than its factorization.

4251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4251200 is about 2061.8438350176. The cubic root of 4251200 is about 161.9958338613.

Adding to 4251200 its reverse (21524), we get a palindrome (4272724).

The spelling of 4251200 in words is "four million, two hundred fifty-one thousand, two hundred".