427924 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 161280.

The previous prime is 427919. The next prime is 427939. The reversal of 427924 is 429724.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 427892 and 427901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13789 + ... + 13819.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁴²⁷⁹²⁴ 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 427924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

427924 is an abundant number, since it is smaller than the sum of its proper divisors (539756).

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

427924 is a wasteful number, since it uses less digits than its factorization.

427924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 427924 is about 654.1590020782. The cubic root of 427924 is about 75.3567595369.

The spelling of 427924 in words is "four hundred twenty-seven thousand, nine hundred twenty-four".