4399200 has 216 divisors, whose sum is σ = 17061408. Its totient is φ = 1059840.

The previous prime is 4399193. The next prime is 4399223. The reversal of 4399200 is 29934.

It is a super-3 number, since 3×4399200³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93577 + ... + 93623.

It is an arithmetic number, because the mean of its divisors is an integer number (78988).

Almost surely, 2^4399200 is an apocalyptic number.

4399200 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 4399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

4399200 is an abundant number, since it is smaller than the sum of its proper divisors (12662208).

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

4399200 is a wasteful number, since it uses less digits than its factorization.

4399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4399200 is about 2097.4269951538. The cubic root of 4399200 is about 163.8543223513.

The spelling of 4399200 in words is "four million, three hundred ninety-nine thousand, two hundred".