420445608 has 128 divisors (see below), whose sum is σ = 1181952000. Its totient is φ = 123552000.

The previous prime is 420445601. The next prime is 420445609. The reversal of 420445608 is 806544024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (420445601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2112693 + ... + 2112891.

It is an arithmetic number, because the mean of its divisors is an integer number (9234000).

Almost surely, 2^420445608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420445608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590976000).

420445608 is an abundant number, since it is smaller than the sum of its proper divisors (761506392).

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

420445608 is a wasteful number, since it uses less digits than its factorization.

420445608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 420445608 is about 20504.7703717940. The cubic root of 420445608 is about 749.1519944323.

The spelling of 420445608 in words is "four hundred twenty million, four hundred forty-five thousand, six hundred eight".