427424 has 36 divisors (see below), whose sum is σ = 912114. Its totient is φ = 196992.

The previous prime is 427423. The next prime is 427429. The reversal of 427424 is 424724.

It can be written as a sum of positive squares in only one way, i.e., 283024 + 144400 = 532^2 + 380^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 427424.

It is not an unprimeable number, because it can be changed into a prime (427421) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11534 + ... + 11570.

2⁴²⁷⁴²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456057).

427424 is an abundant number, since it is smaller than the sum of its proper divisors (484690).

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

427424 is a wasteful number, since it uses less digits than its factorization.

427424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its digits is 1792, while the sum is 23.

The square root of 427424 is about 653.7767202952. The cubic root of 427424 is about 75.3273983542.

The spelling of 427424 in words is "four hundred twenty-seven thousand, four hundred twenty-four", and thus it is an iban number.