427416 has 32 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 129440.

The previous prime is 427403. The next prime is 427417. The reversal of 427416 is 614724.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 4² + 2¹⁷ + 4⁷ + 7 + 1 + 6⁷ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427416.

It is not an unprimeable number, because it can be changed into a prime (427417) by changing a digit.

427416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁴²⁷⁴¹⁶ is an apocalyptic number.

It is an amenable number.

427416 is an abundant number, since it is smaller than the sum of its proper divisors (738984).

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

427416 is a wasteful number, since it uses less digits than its factorization.

427416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1635 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 427416 is about 653.7706019698. The cubic root of 427416 is about 75.3269283892.

The spelling of 427416 in words is "four hundred twenty-seven thousand, four hundred sixteen".