427560 has 64 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 97536.

The previous prime is 427541. The next prime is 427579. The reversal of 427560 is 65724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427541) and next prime (427579).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 427560.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427560.

It is an unprimeable number.

427560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁴²⁷⁵⁶⁰ is an apocalyptic number.

427560 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 427560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

427560 is an abundant number, since it is smaller than the sum of its proper divisors (1041240).

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

427560 is a wasteful number, since it uses less digits than its factorization.

427560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 427560 is about 653.8807230681. The cubic root of 427560 is about 75.3353868620.

The spelling of 427560 in words is "four hundred twenty-seven thousand, five hundred sixty".