420320256 has 88 divisors (see below), whose sum is σ = 1139180064. Its totient is φ = 137748480.

The previous prime is 420320231. The next prime is 420320267. The reversal of 420320256 is 652023024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186271 + ... + 188513.

It is an arithmetic number, because the mean of its divisors is an integer number (12945228).

Almost surely, 2^420320256 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 420320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569590032).

420320256 is an abundant number, since it is smaller than the sum of its proper divisors (718859808).

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

420320256 is a wasteful number, since it uses less digits than its factorization.

420320256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 420320256 is about 20501.7134893647. The cubic root of 420320256 is about 749.0775361012.

The spelling of 420320256 in words is "four hundred twenty million, three hundred twenty thousand, two hundred fifty-six".