420608 has 36 divisors (see below), whose sum is σ = 883008. Its totient is φ = 199680.

The previous prime is 420599. The next prime is 420613. The reversal of 420608 is 806024.

It is a super-2 number, since 2×420608² = 353822179328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7910 + ... + 7962.

It is an arithmetic number, because the mean of its divisors is an integer number (24528).

2⁴²⁰⁶⁰⁸ 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 420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441504).

420608 is an abundant number, since it is smaller than the sum of its proper divisors (462400).

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

420608 is an equidigital number, since it uses as much as digits as its factorization.

420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 420608 is about 648.5429823844. The cubic root of 420608 is about 74.9248432298.

The spelling of 420608 in words is "four hundred twenty thousand, six hundred eight".