421948800 has 864 divisors, whose sum is σ = 1968155280. Its totient is φ = 85155840.

The previous prime is 421948799. The next prime is 421948831. The reversal of 421948800 is 8849124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18345589 + ... + 18345611.

Almost surely, 2^421948800 is an apocalyptic number.

421948800 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 421948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984077640).

421948800 is an abundant number, since it is smaller than the sum of its proper divisors (1546206480).

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

421948800 is a wasteful number, since it uses less digits than its factorization.

421948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 421948800 is about 20541.3923578710. The cubic root of 421948800 is about 750.0437307834.

The spelling of 421948800 in words is "four hundred twenty-one million, nine hundred forty-eight thousand, eight hundred".