420334020 has 72 divisors (see below), whose sum is σ = 1279900440. Its totient is φ = 111659520.

The previous prime is 420334003. The next prime is 420334049. The reversal of 420334020 is 20433024.

It can be written as a sum of positive squares in 4 ways, for example, as 22810176 + 397523844 = 4776^2 + 19938^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420333984 and 420334002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44080 + ... + 52760.

It is an arithmetic number, because the mean of its divisors is an integer number (17776395).

Almost surely, 2^420334020 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 420334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639950220).

420334020 is an abundant number, since it is smaller than the sum of its proper divisors (859566420).

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

420334020 is a wasteful number, since it uses less digits than its factorization.

420334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 420334020 is about 20502.0491658761. The cubic root of 420334020 is about 749.0857125575.

Adding to 420334020 its reverse (20433024), we get a palindrome (440767044).

The spelling of 420334020 in words is "four hundred twenty million, three hundred thirty-four thousand, twenty".