421858800 has 480 divisors, whose sum is σ = 1693820160. Its totient is φ = 98841600.

The previous prime is 421858781. The next prime is 421858807. The reversal of 421858800 is 8858124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421858807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6296367 + ... + 6296433.

It is an arithmetic number, because the mean of its divisors is an integer number (3528792).

Almost surely, 2^421858800 is an apocalyptic number.

421858800 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 421858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846910080).

421858800 is an abundant number, since it is smaller than the sum of its proper divisors (1271961360).

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

421858800 is a wasteful number, since it uses less digits than its factorization.

421858800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 421858800 is about 20539.2015424164. The cubic root of 421858800 is about 749.9903998771.

The spelling of 421858800 in words is "four hundred twenty-one million, eight hundred fifty-eight thousand, eight hundred".