421228800 has 324 divisors, whose sum is σ = 1542026304. Its totient is φ = 109670400.

The previous prime is 421228781. The next prime is 421228823. The reversal of 421228800 is 8822124.

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 35 ways as a sum of consecutive naturals, for example, 4089549 + ... + 4089651.

Almost surely, 2^421228800 is an apocalyptic number.

421228800 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 421228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771013152).

421228800 is an abundant number, since it is smaller than the sum of its proper divisors (1120797504).

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

421228800 is a wasteful number, since it uses less digits than its factorization.

421228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 421228800 is about 20523.8592862064. The cubic root of 421228800 is about 749.6168709829.

The spelling of 421228800 in words is "four hundred twenty-one million, two hundred twenty-eight thousand, eight hundred".