421807680 has 420 divisors, whose sum is σ = 1720295772. Its totient is φ = 94832640.

The previous prime is 421807667. The next prime is 421807691. The reversal of 421807680 is 86708124.

It can be written as a sum of positive squares in 2 ways, for example, as 67765824 + 354041856 = 8232^2 + 18816^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6914850 + ... + 6914910.

Almost surely, 2^421807680 is an apocalyptic number.

421807680 is a gapful number since it is divisible by the number (40) 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 421807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860147886).

421807680 is an abundant number, since it is smaller than the sum of its proper divisors (1298488092).

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

421807680 is an equidigital number, since it uses as much as digits as its factorization.

421807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 421807680 is about 20537.9570551698. The cubic root of 421807680 is about 749.9601045445.

The spelling of 421807680 in words is "four hundred twenty-one million, eight hundred seven thousand, six hundred eighty".