4297200 has 60 divisors (see below), whose sum is σ = 13769208. Its totient is φ = 1145600.

The previous prime is 4297199. The next prime is 4297201. The reversal of 4297200 is 27924.

It is an interprime number because it is at equal distance from previous prime (4297199) and next prime (4297201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4297201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591 + ... + 2990.

Almost surely, 2^4297200 is an apocalyptic number.

4297200 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 4297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884604).

4297200 is an abundant number, since it is smaller than the sum of its proper divisors (9472008).

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

4297200 is a wasteful number, since it uses less digits than its factorization.

4297200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4297200 is about 2072.9688854394. The cubic root of 4297200 is about 162.5780295867.

The spelling of 4297200 in words is "four million, two hundred ninety-seven thousand, two hundred".