420793020 has 72 divisors (see below), whose sum is σ = 1280273904. Its totient is φ = 111871488.

The previous prime is 420793013. The next prime is 420793033. The reversal of 420793020 is 20397024.

It is a congruent number.

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, 59092 + ... + 65828.

It is an arithmetic number, because the mean of its divisors is an integer number (17781582).

Almost surely, 2^420793020 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 420793020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640136952).

420793020 is an abundant number, since it is smaller than the sum of its proper divisors (859480884).

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

420793020 is a wasteful number, since it uses less digits than its factorization.

420793020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7099 (or 7094 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 420793020 is about 20513.2401146187. The cubic root of 420793020 is about 749.3582777467.

The spelling of 420793020 in words is "four hundred twenty million, seven hundred ninety-three thousand, twenty".