427392 has 96 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 119808.

The previous prime is 427381. The next prime is 427403. The reversal of 427392 is 293724.

It is an interprime number because it is at equal distance from previous prime (427381) and next prime (427403).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 427392.

It is an unprimeable number.

427392 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 11 ways as a sum of consecutive naturals, for example, 8038 + ... + 8090.

2⁴²⁷³⁹² is an apocalyptic number.

427392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

427392 is an abundant number, since it is smaller than the sum of its proper divisors (1004688).

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

427392 is a wasteful number, since it uses less digits than its factorization.

427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 427392 is about 653.7522466501. The cubic root of 427392 is about 75.3255184591.

The spelling of 427392 in words is "four hundred twenty-seven thousand, three hundred ninety-two".