4255200 has 144 divisors (see below), whose sum is σ = 15467760. Its totient is φ = 1128960.

The previous prime is 4255193. The next prime is 4255213. The reversal of 4255200 is 25524.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 21502 + ... + 21698.

It is an arithmetic number, because the mean of its divisors is an integer number (107415).

Almost surely, 2^4255200 is an apocalyptic number.

4255200 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 4255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733880).

4255200 is an abundant number, since it is smaller than the sum of its proper divisors (11212560).

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

4255200 is a wasteful number, since it uses less digits than its factorization.

4255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4255200 is about 2062.8136125205. The cubic root of 4255200 is about 162.0466258110.

It can be divided in two parts, 425 and 5200, that added together give a square (5625 = 75²).

The spelling of 4255200 in words is "four million, two hundred fifty-five thousand, two hundred".