421314000 has 320 divisors, whose sum is σ = 1470763008. Its totient is φ = 103488000.

The previous prime is 421313983. The next prime is 421314041. The reversal of 421314000 is 413124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5933965 + ... + 5934035.

Almost surely, 2^421314000 is an apocalyptic number.

421314000 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 421314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735381504).

421314000 is an abundant number, since it is smaller than the sum of its proper divisors (1049449008).

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

421314000 is a wasteful number, since it uses less digits than its factorization.

421314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 421314000 is about 20525.9348142783. The cubic root of 421314000 is about 749.6674080875.

Adding to 421314000 its reverse (413124), we get a palindrome (421727124).

The spelling of 421314000 in words is "four hundred twenty-one million, three hundred fourteen thousand".