427936 has 24 divisors (see below), whose sum is σ = 864864. Its totient is φ = 208320.

The previous prime is 427919. The next prime is 427939. The reversal of 427936 is 639724.

It is a junction number, because it is equal to n+sod(n) for n = 427898 and 427907.

It is not an unprimeable number, because it can be changed into a prime (427939) by changing a digit.

427936 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 3 ways as a sum of consecutive naturals, for example, 1221 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2⁴²⁷⁹³⁶ 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 427936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432).

427936 is an abundant number, since it is smaller than the sum of its proper divisors (436928).

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

427936 is a wasteful number, since it uses less digits than its factorization.

427936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 427936 is about 654.1681740959. The cubic root of 427936 is about 75.3574639242.

The spelling of 427936 in words is "four hundred twenty-seven thousand, nine hundred thirty-six".