4063200 has 72 divisors (see below), whose sum is σ = 13233528. Its totient is φ = 1082880.

The previous prime is 4063183. The next prime is 4063211. The reversal of 4063200 is 23604.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 4063200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1554 + ... + 3246.

It is an arithmetic number, because the mean of its divisors is an integer number (183799).

Almost surely, 2^4063200 is an apocalyptic number.

4063200 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 4063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616764).

4063200 is an abundant number, since it is smaller than the sum of its proper divisors (9170328).

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

4063200 is a wasteful number, since it uses less digits than its factorization.

4063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4063200 is about 2015.7380782235. The cubic root of 4063200 is about 159.5717715667.

Adding to 4063200 its reverse (23604), we get a palindrome (4086804).

The spelling of 4063200 in words is "four million, sixty-three thousand, two hundred".