420320448 has 112 divisors (see below), whose sum is σ = 1251712000. Its totient is φ = 138288384.

The previous prime is 420320441. The next prime is 420320449. The reversal of 420320448 is 844023024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420320441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 134973 + ... + 138051.

It is an arithmetic number, because the mean of its divisors is an integer number (11176000).

Almost surely, 2^420320448 is an apocalyptic number.

420320448 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 420320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625856000).

420320448 is an abundant number, since it is smaller than the sum of its proper divisors (831391552).

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

420320448 is a wasteful number, since it uses less digits than its factorization.

420320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 420320448 is about 20501.7181718996. The cubic root of 420320448 is about 749.0776501594.

The spelling of 420320448 in words is "four hundred twenty million, three hundred twenty thousand, four hundred forty-eight".