420710628 has 72 divisors (see below), whose sum is σ = 1125599328. Its totient is φ = 121824768.

The previous prime is 420710623. The next prime is 420710659. The reversal of 420710628 is 826017024.

It is a junction number, because it is equal to n+sod(n) for n = 420710595 and 420710604.

It is not an unprimeable number, because it can be changed into a prime (420710623) 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, 28375 + ... + 40577.

It is an arithmetic number, because the mean of its divisors is an integer number (15633324).

Almost surely, 2^420710628 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 420710628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562799664).

420710628 is an abundant number, since it is smaller than the sum of its proper divisors (704888700).

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

420710628 is a wasteful number, since it uses less digits than its factorization.

420710628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12253 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 420710628 is about 20511.2317523839. The cubic root of 420710628 is about 749.3093660059.

The spelling of 420710628 in words is "four hundred twenty million, seven hundred ten thousand, six hundred twenty-eight".