421876000 has 384 divisors, whose sum is σ = 1364912640. Its totient is φ = 124416000.

The previous prime is 421875983. The next prime is 421876003. The reversal of 421876000 is 678124.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 421876000 = 10³ + 750³ = 415³ + 705³.

It is a self number, because there is not a number n which added to its sum of digits gives 421876000.

It is not an unprimeable number, because it can be changed into a prime (421876003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6915970 + ... + 6916030.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^421876000 is an apocalyptic number.

421876000 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 421876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

421876000 is an abundant number, since it is smaller than the sum of its proper divisors (943036640).

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

421876000 is a wasteful number, since it uses less digits than its factorization.

421876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 421876000 is about 20539.6202496541. The cubic root of 421876000 is about 750.0005925921. Note that the first 3 decimals are identical.

The spelling of 421876000 in words is "four hundred twenty-one million, eight hundred seventy-six thousand".