427992 has 32 divisors (see below), whose sum is σ = 1134000. Its totient is φ = 134144.

The previous prime is 427991. The next prime is 427993. The reversal of 427992 is 299724.

It is an interprime number because it is at equal distance from previous prime (427991) and next prime (427993).

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 427992.

It is not an unprimeable number, because it can be changed into a prime (427991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 932.

2⁴²⁷⁹⁹² 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 427992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567000).

427992 is an abundant number, since it is smaller than the sum of its proper divisors (706008).

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

427992 is a wasteful number, since it uses less digits than its factorization.

427992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 427992 is about 654.2109751449. The cubic root of 427992 is about 75.3607508907.

It can be divided in two parts, 4279 and 92, that added together give a triangular number (4371 = T₉₃).

The spelling of 427992 in words is "four hundred twenty-seven thousand, nine hundred ninety-two".