421334000 has 80 divisors (see below), whose sum is σ = 1023684480. Its totient is φ = 167724800.

The previous prime is 421333981. The next prime is 421334003. The reversal of 421334000 is 433124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 421334000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421334003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585641 + ... + 586359.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 2^421334000 is an apocalyptic number.

421334000 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 421334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

421334000 is an abundant number, since it is smaller than the sum of its proper divisors (602350480).

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

421334000 is a wasteful number, since it uses less digits than its factorization.

421334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 421334000 is about 20526.4219970262. The cubic root of 421334000 is about 749.6792702702.

Adding to 421334000 its reverse (433124), we get a palindrome (421767124).

The spelling of 421334000 in words is "four hundred twenty-one million, three hundred thirty-four thousand".