421606944 has 336 divisors, whose sum is σ = 1427860224. Its totient is φ = 121305600.

The previous prime is 421606943. The next prime is 421606957. The reversal of 421606944 is 449606124.

421606944 is a `hidden beast` number, since 4 + 2 + 1 + 606 + 9 + 44 = 666.

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 = 421606899 and 421606908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421606943) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7954822 + ... + 7954874.

It is an arithmetic number, because the mean of its divisors is an integer number (4249584).

Almost surely, 2^421606944 is an apocalyptic number.

421606944 is a gapful number since it is divisible by the number (44) 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 421606944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713930112).

421606944 is an abundant number, since it is smaller than the sum of its proper divisors (1006253280).

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

421606944 is a wasteful number, since it uses less digits than its factorization.

421606944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 421606944 is about 20533.0695221148. The cubic root of 421606944 is about 749.8411183445.

The spelling of 421606944 in words is "four hundred twenty-one million, six hundred six thousand, nine hundred forty-four".