421432128 has 168 divisors, whose sum is σ = 1357993728. Its totient is φ = 123982848.

The previous prime is 421432111. The next prime is 421432129. The reversal of 421432128 is 821234124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421432129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171001 + ... + 173447.

It is an arithmetic number, because the mean of its divisors is an integer number (8083296).

Almost surely, 2^421432128 is an apocalyptic number.

421432128 is a gapful number since it is divisible by the number (48) 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 421432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678996864).

421432128 is an abundant number, since it is smaller than the sum of its proper divisors (936561600).

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

421432128 is a wasteful number, since it uses less digits than its factorization.

421432128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2488 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 421432128 is about 20528.8121429371. The cubic root of 421432128 is about 749.7374654449.

The spelling of 421432128 in words is "four hundred twenty-one million, four hundred thirty-two thousand, one hundred twenty-eight".