420705220 has 72 divisors (see below), whose sum is σ = 1007173440. Its totient is φ = 147139200.

The previous prime is 420705211. The next prime is 420705269. The reversal of 420705220 is 22507024.

It is a junction number, because it is equal to n+sod(n) for n = 420705191 and 420705200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60945 + ... + 67495.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2^420705220 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 420705220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503586720).

420705220 is an abundant number, since it is smaller than the sum of its proper divisors (586468220).

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

420705220 is a wasteful number, since it uses less digits than its factorization.

420705220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 420705220 is about 20511.0999217497. The cubic root of 420705220 is about 749.3061553411.

The spelling of 420705220 in words is "four hundred twenty million, seven hundred five thousand, two hundred twenty".