421856800 has 144 divisors (see below), whose sum is σ = 1090055232. Its totient is φ = 159104000.

The previous prime is 421856797. The next prime is 421856801. The reversal of 421856800 is 8658124.

It is not an unprimeable number, because it can be changed into a prime (421856801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858287 + ... + 1858513.

It is an arithmetic number, because the mean of its divisors is an integer number (7569828).

Almost surely, 2^421856800 is an apocalyptic number.

421856800 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 421856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545027616).

421856800 is an abundant number, since it is smaller than the sum of its proper divisors (668198432).

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

421856800 is a wasteful number, since it uses less digits than its factorization.

421856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 421856800 is about 20539.1528549743. The cubic root of 421856800 is about 749.9892146597.

The spelling of 421856800 in words is "four hundred twenty-one million, eight hundred fifty-six thousand, eight hundred".