420448896 has 192 divisors, whose sum is σ = 1464540480. Its totient is φ = 113025024.

The previous prime is 420448849. The next prime is 420448921. The reversal of 420448896 is 698844024.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135555 + ... + 138621.

It is an arithmetic number, because the mean of its divisors is an integer number (7627815).

Almost surely, 2^420448896 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 420448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732270240).

420448896 is an abundant number, since it is smaller than the sum of its proper divisors (1044091584).

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

420448896 is a wasteful number, since it uses less digits than its factorization.

420448896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 420448896 is about 20504.8505481020. The cubic root of 420448896 is about 749.1539472853.

The spelling of 420448896 in words is "four hundred twenty million, four hundred forty-eight thousand, eight hundred ninety-six".