421996800 has 216 divisors, whose sum is σ = 1439630080. Its totient is φ = 108748800.

The previous prime is 421996789. The next prime is 421996811. The reversal of 421996800 is 8699124.

It is an interprime number because it is at equal distance from previous prime (421996789) and next prime (421996811).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594846 + ... + 595554.

Almost surely, 2^421996800 is an apocalyptic number.

421996800 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 421996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719815040).

421996800 is an abundant number, since it is smaller than the sum of its proper divisors (1017633280).

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

421996800 is a wasteful number, since it uses less digits than its factorization.

421996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 421996800 is about 20542.5606972451. The cubic root of 421996800 is about 750.0721708327.

The spelling of 421996800 in words is "four hundred twenty-one million, nine hundred ninety-six thousand, eight hundred".