421952 has 28 divisors (see below), whose sum is σ = 883920. Its totient is φ = 199296.

The previous prime is 421943. The next prime is 421973. The reversal of 421952 is 259124.

It is an unprimeable number.

421952 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, 1043 + ... + 1389.

2⁴²¹⁹⁵² 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 421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441960).

421952 is an abundant number, since it is smaller than the sum of its proper divisors (461968).

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

421952 is a wasteful number, since it uses less digits than its factorization.

421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 421952 is about 649.5783247615. The cubic root of 421952 is about 75.0045626854.

The spelling of 421952 in words is "four hundred twenty-one thousand, nine hundred fifty-two".