420225608 has 64 divisors (see below), whose sum is σ = 878929920. Its totient is φ = 186753600.

The previous prime is 420225593. The next prime is 420225623. The reversal of 420225608 is 806522024.

It is an interprime number because it is at equal distance from previous prime (420225593) and next prime (420225623).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550513 + ... + 1550783.

It is an arithmetic number, because the mean of its divisors is an integer number (13733280).

Almost surely, 2^420225608 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 420225608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439464960).

420225608 is an abundant number, since it is smaller than the sum of its proper divisors (458704312).

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

420225608 is a wasteful number, since it uses less digits than its factorization.

420225608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 420225608 is about 20499.4050645378. The cubic root of 420225608 is about 749.0213059513.

The spelling of 420225608 in words is "four hundred twenty million, two hundred twenty-five thousand, six hundred eight".