420507020 has 12 divisors (see below), whose sum is σ = 883064784. Its totient is φ = 168202800.

The previous prime is 420507007. The next prime is 420507089. The reversal of 420507020 is 20705024.

420507020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 21025351 = 420507020 / (4 + 2 + 0 + 5 + 0 + 7 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 420506983 and 420507001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10512656 + ... + 10512695.

It is an arithmetic number, because the mean of its divisors is an integer number (73588732).

Almost surely, 2^420507020 is an apocalyptic number.

It is an amenable number.

420507020 is an abundant number, since it is smaller than the sum of its proper divisors (462557764).

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

420507020 is a wasteful number, since it uses less digits than its factorization.

420507020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21025360 (or 21025358 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 420507020 is about 20506.2678223025. The cubic root of 420507020 is about 749.1884673883.

The spelling of 420507020 in words is "four hundred twenty million, five hundred seven thousand, twenty".