421152 has 48 divisors (see below), whose sum is σ = 1143072. Its totient is φ = 135680.

The previous prime is 421147. The next prime is 421159. The reversal of 421152 is 251124.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 421152.

It is not an unprimeable number, because it can be changed into a prime (421159) by changing a digit.

421152 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 7 ways as a sum of consecutive naturals, for example, 3883 + ... + 3989.

It is an arithmetic number, because the mean of its divisors is an integer number (23814).

2⁴²¹¹⁵² 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 421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571536).

421152 is an abundant number, since it is smaller than the sum of its proper divisors (721920).

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

421152 is a wasteful number, since it uses less digits than its factorization.

421152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 421152 is about 648.9622485168. The cubic root of 421152 is about 74.9571310569.

Adding to 421152 its reverse (251124), we get a palindrome (672276).

It can be divided in two parts, 42 and 1152, that multiplied together give a palindrome (48384).

The spelling of 421152 in words is "four hundred twenty-one thousand, one hundred fifty-two".