420545008 has 120 divisors (see below), whose sum is σ = 947617920. Its totient is φ = 180311040.

The previous prime is 420545003. The next prime is 420545009. The reversal of 420545008 is 800545024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420545003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430810 + ... + 2430982.

It is an arithmetic number, because the mean of its divisors is an integer number (7896816).

Almost surely, 2^420545008 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 420545008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473808960).

420545008 is an abundant number, since it is smaller than the sum of its proper divisors (527072912).

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

420545008 is a wasteful number, since it uses less digits than its factorization.

420545008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 420545008 is about 20507.1940547701. The cubic root of 420545008 is about 749.2110269122.

The spelling of 420545008 in words is "four hundred twenty million, five hundred forty-five thousand, eight".