421184128 has 32 divisors (see below), whose sum is σ = 842800500. Its totient is φ = 209657856.

The previous prime is 421184123. The next prime is 421184131. The reversal of 421184128 is 821481124.

It can be written as a sum of positive squares in 2 ways, for example, as 381342784 + 39841344 = 19528^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a self number, because there is not a number n which added to its sum of digits gives 421184128.

It is not an unprimeable number, because it can be changed into a prime (421184123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22128 + ... + 36496.

Almost surely, 2^421184128 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 421184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421400250).

421184128 is an abundant number, since it is smaller than the sum of its proper divisors (421616372).

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

421184128 is a wasteful number, since it uses less digits than its factorization.

421184128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14612 (or 14600 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 421184128 is about 20522.7709630059. The cubic root of 421184128 is about 749.5903706829.

The spelling of 421184128 in words is "four hundred twenty-one million, one hundred eighty-four thousand, one hundred twenty-eight".