421632000 has 384 divisors, whose sum is σ = 1584273600. Its totient is φ = 110592000.

The previous prime is 421631993. The next prime is 421632017. The reversal of 421632000 is 236124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911970 + ... + 6912030.

Almost surely, 2^421632000 is an apocalyptic number.

421632000 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 421632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792136800).

421632000 is an abundant number, since it is smaller than the sum of its proper divisors (1162641600).

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

421632000 is an equidigital number, since it uses as much as digits as its factorization.

421632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 421632000 is about 20533.6796507591. The cubic root of 421632000 is about 749.8559723431.

Adding to 421632000 its reverse (236124), we get a palindrome (421868124).

The spelling of 421632000 in words is "four hundred twenty-one million, six hundred thirty-two thousand".