421789200 has 240 divisors, whose sum is σ = 1559126400. Its totient is φ = 95477760.

The previous prime is 421789169. The next prime is 421789201. The reversal of 421789200 is 2987124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×421789200² = 355812258473280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (421789201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251432 + ... + 1251768.

It is an arithmetic number, because the mean of its divisors is an integer number (6496360).

Almost surely, 2^421789200 is an apocalyptic number.

421789200 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 421789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779563200).

421789200 is an abundant number, since it is smaller than the sum of its proper divisors (1137337200).

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

421789200 is a wasteful number, since it uses less digits than its factorization.

421789200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 421789200 is about 20537.5071515508. The cubic root of 421789200 is about 749.9491521083.

The spelling of 421789200 in words is "four hundred twenty-one million, seven hundred eighty-nine thousand, two hundred".