420576320 has 28 divisors (see below), whose sum is σ = 1001498124. Its totient is φ = 168230400.

The previous prime is 420576313. The next prime is 420576323. The reversal of 420576320 is 23675024.

It can be written as a sum of positive squares in 2 ways, for example, as 47004736 + 373571584 = 6856^2 + 19328^2 .

It is not an unprimeable number, because it can be changed into a prime (420576323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656831 + ... + 657470.

Almost surely, 2^420576320 is an apocalyptic number.

420576320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420576320 is an abundant number, since it is smaller than the sum of its proper divisors (580921804).

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

420576320 is a wasteful number, since it uses less digits than its factorization.

420576320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314318 (or 1314308 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 420576320 is about 20507.9574799637. The cubic root of 420576320 is about 749.2296208107.

The spelling of 420576320 in words is "four hundred twenty million, five hundred seventy-six thousand, three hundred twenty".