4321200 has 120 divisors (see below), whose sum is σ = 14960848. Its totient is φ = 1059840.

The previous prime is 4321181. The next prime is 4321211. The reversal of 4321200 is 21234.

4321200 = T₁₉ + T₂₀ + ... + T₂₉₅.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15462 + ... + 15738.

Almost surely, 2^4321200 is an apocalyptic number.

4321200 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 4321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480424).

4321200 is an abundant number, since it is smaller than the sum of its proper divisors (10639648).

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

4321200 is a wasteful number, since it uses less digits than its factorization.

4321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4321200 is about 2078.7496241731. The cubic root of 4321200 is about 162.8801356975.

Adding to 4321200 its reverse (21234), we get a palindrome (4342434).

It can be divided in two parts, 432 and 1200, that multiplied together give a square (518400 = 720²).

The spelling of 4321200 in words is "four million, three hundred twenty-one thousand, two hundred".