4275200 has 66 divisors (see below), whose sum is σ = 10660776. Its totient is φ = 1699840.

The previous prime is 4275181. The next prime is 4275233. The reversal of 4275200 is 25724.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25517 + ... + 25683.

Almost surely, 2^4275200 is an apocalyptic number.

4275200 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 4275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330388).

4275200 is an abundant number, since it is smaller than the sum of its proper divisors (6385576).

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

4275200 is a wasteful number, since it uses less digits than its factorization.

4275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 4275200 is about 2067.6556773312. The cubic root of 4275200 is about 162.3001092454.

The spelling of 4275200 in words is "four million, two hundred seventy-five thousand, two hundred".