421888896 has 288 divisors, whose sum is σ = 1441388520. Its totient is φ = 117411840.

The previous prime is 421888891. The next prime is 421888903. The reversal of 421888896 is 698888124.

It is a tau number, because it is divible by the number of its divisors (288).

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 (421888891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2141470 + ... + 2141666.

Almost surely, 2^421888896 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 421888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720694260).

421888896 is an abundant number, since it is smaller than the sum of its proper divisors (1019499624).

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

421888896 is a wasteful number, since it uses less digits than its factorization.

421888896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 421888896 is about 20539.9341771097. The cubic root of 421888896 is about 750.0082345763.

The spelling of 421888896 in words is "four hundred twenty-one million, eight hundred eighty-eight thousand, eight hundred ninety-six".