4345200 has 180 divisors, whose sum is σ = 16190928. Its totient is φ = 1075200.

The previous prime is 4345199. The next prime is 4345207. The reversal of 4345200 is 25434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 4² + 3⁹ + 4¹¹ + 5³ + 2¹⁷ + 0 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4345207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61165 + ... + 61235.

Almost surely, 2^4345200 is an apocalyptic number.

4345200 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 4345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095464).

4345200 is an abundant number, since it is smaller than the sum of its proper divisors (11845728).

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

4345200 is a wasteful number, since it uses less digits than its factorization.

4345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4345200 is about 2084.5143319248. The cubic root of 4345200 is about 163.1811252681.

The spelling of 4345200 in words is "four million, three hundred forty-five thousand, two hundred".