427280 has 60 divisors (see below), whose sum is σ = 1166220. Its totient is φ = 145152.

The previous prime is 427279. The next prime is 427283. The reversal of 427280 is 82724.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 200704 = 476^2 + 448^2 .

It is not an unprimeable number, because it can be changed into a prime (427283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3866 + ... + 3974.

It is an arithmetic number, because the mean of its divisors is an integer number (19437).

2⁴²⁷²⁸⁰ is an apocalyptic number.

427280 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 427280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583110).

427280 is an abundant number, since it is smaller than the sum of its proper divisors (738940).

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

427280 is a wasteful number, since it uses less digits than its factorization.

427280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 427280 is about 653.6665816760. Note that the first 3 decimals coincide. The cubic root of 427280 is about 75.3189380870.

It can be divided in two parts, 427 and 280, that added together give a palindrome (707).

The spelling of 427280 in words is "four hundred twenty-seven thousand, two hundred eighty".