427200 has 84 divisors (see below), whose sum is σ = 1417320. Its totient is φ = 112640.

The previous prime is 427181. The next prime is 427213. The reversal of 427200 is 2724.

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

It is a self number, because there is not a number n which added to its sum of digits gives 427200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427200.

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, 4756 + ... + 4844.

2⁴²⁷²⁰⁰ is an apocalyptic number.

427200 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 427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708660).

427200 is an abundant number, since it is smaller than the sum of its proper divisors (990120).

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

427200 is a wasteful number, since it uses less digits than its factorization.

427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 427200 is about 653.6053855347. The cubic root of 427200 is about 75.3142371172.

Adding to 427200 its reverse (2724), we get a palindrome (429924).

The spelling of 427200 in words is "four hundred twenty-seven thousand, two hundred", and thus it is an iban number.