427401 has 18 divisors (see below), whose sum is σ = 670878. Its totient is φ = 262080.

The previous prime is 427381. The next prime is 427403. The reversal of 427401 is 104724.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3600 + 423801 = 60^2 + 651^2 .

It is not a de Polignac number, because 427401 - 2⁵ = 427369 is a prime.

It is a super-2 number, since 2×427401² = 365343229602, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

427401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (427403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1381 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (37271).

2⁴²⁷⁴⁰¹ is an apocalyptic number.

It is an amenable number.

427401 is a deficient number, since it is larger than the sum of its proper divisors (243477).

427401 is a wasteful number, since it uses less digits than its factorization.

427401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 427401 is about 653.7591299554. The cubic root of 427401 is about 75.3260471891.

It can be divided in two parts, 427 and 401, that added together give a palindrome (828).

The spelling of 427401 in words is "four hundred twenty-seven thousand, four hundred one", and thus it is an iban number.