420134020 has 48 divisors (see below), whose sum is σ = 917587440. Its totient is φ = 161391104.

The previous prime is 420134017. The next prime is 420134047. The reversal of 420134020 is 20431024.

It can be written as a sum of positive squares in 8 ways, for example, as 70593604 + 349540416 = 8402^2 + 18696^2 .

It is a super-2 number, since 2×420134020² = 353025189522720800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420133985 and 420134003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112422 + ... + 116098.

It is an arithmetic number, because the mean of its divisors is an integer number (19116405).

Almost surely, 2^420134020 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 420134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458793720).

420134020 is an abundant number, since it is smaller than the sum of its proper divisors (497453420).

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

420134020 is a wasteful number, since it uses less digits than its factorization.

420134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 420134020 is about 20497.1710243146. The cubic root of 420134020 is about 748.9668857014.

Adding to 420134020 its reverse (20431024), we get a palindrome (440565044).

The spelling of 420134020 in words is "four hundred twenty million, one hundred thirty-four thousand, twenty".