420225320 has 32 divisors (see below), whose sum is σ = 948217320. Its totient is φ = 167608320.

The previous prime is 420225257. The next prime is 420225331. The reversal of 420225320 is 23522024.

It can be written as a sum of positive squares in 4 ways, for example, as 245298244 + 174927076 = 15662^2 + 13226^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420225292 and 420225301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761 + ... + 29000.

Almost surely, 2^420225320 is an apocalyptic number.

420225320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420225320 is an abundant number, since it is smaller than the sum of its proper divisors (527992000).

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

420225320 is a wasteful number, since it uses less digits than its factorization.

420225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30125 (or 30121 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 420225320 is about 20499.3980399425. The cubic root of 420225320 is about 749.0211348383.

Adding to 420225320 its reverse (23522024), we get a palindrome (443747344).

The spelling of 420225320 in words is "four hundred twenty million, two hundred twenty-five thousand, three hundred twenty".