421404000 has 96 divisors (see below), whose sum is σ = 1380558816. Its totient is φ = 112371200.

The previous prime is 421403977. The next prime is 421404001. The reversal of 421404000 is 404124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421404001) 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 15 ways as a sum of consecutive naturals, for example, 5559 + ... + 29558.

It is an arithmetic number, because the mean of its divisors is an integer number (14380821).

Almost surely, 2^421404000 is an apocalyptic number.

421404000 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 421404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690279408).

421404000 is an abundant number, since it is smaller than the sum of its proper divisors (959154816).

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

421404000 is a wasteful number, since it uses less digits than its factorization.

421404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35145 (or 35127 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 421404000 is about 20528.1270455928. The cubic root of 421404000 is about 749.7207849537.

Adding to 421404000 its reverse (404124), we get a palindrome (421808124).

The spelling of 421404000 in words is "four hundred twenty-one million, four hundred four thousand".