421809444 has 135 divisors (see below), whose sum is σ = 1290642507. Its totient is φ = 119777616.

The previous prime is 421809439. The next prime is 421809461. The reversal of 421809444 is 444908124.

The square root of 421809444 is 20538.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 421809399 and 421809408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2587707 + ... + 2587869.

Almost surely, 2^421809444 is an apocalyptic number.

421809444 is the 20538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421809444

421809444 is an abundant number, since it is smaller than the sum of its proper divisors (868833063).

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

421809444 is a wasteful number, since it uses less digits than its factorization.

421809444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The cubic root of 421809444 is about 749.9611499876.

Multiplying 421809444 by its sum of digits (36), we get a square (15185139984 = 123228²).

421809444 divided by its sum of digits (36) gives a square (11716929 = 3423²).

Multiplying 421809444 by its product of nonzero digits (36864), we get a square (15549583343616 = 3943296²).

The spelling of 421809444 in words is "four hundred twenty-one million, eight hundred nine thousand, four hundred forty-four".