421792 has 36 divisors (see below), whose sum is σ = 969570. Its totient is φ = 180096.

The previous prime is 421783. The next prime is 421801. The reversal of 421792 is 297124.

It is an interprime number because it is at equal distance from previous prime (421783) and next prime (421801).

It can be written as a sum of positive squares in only one way, i.e., 414736 + 7056 = 644^2 + 84^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1434 + ... + 1702.

2⁴²¹⁷⁹² 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 421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484785).

421792 is an abundant number, since it is smaller than the sum of its proper divisors (547778).

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

421792 is a wasteful number, since it uses less digits than its factorization.

421792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 421792 is about 649.4551562656. The cubic root of 421792 is about 74.9950811589.

The spelling of 421792 in words is "four hundred twenty-one thousand, seven hundred ninety-two".