420413305 has 16 divisors (see below), whose sum is σ = 549415440. Its totient is φ = 306966528.

The previous prime is 420413293. The next prime is 420413321. The reversal of 420413305 is 503314024.

It can be written as a sum of positive squares in 8 ways, for example, as 80084601 + 340328704 = 8949^2 + 18448^2 .

It is a cyclic number.

It is not a de Polignac number, because 420413305 - 2¹⁵ = 420380537 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30552 + ... + 42121.

It is an arithmetic number, because the mean of its divisors is an integer number (34338465).

Almost surely, 2^420413305 is an apocalyptic number.

It is an amenable number.

420413305 is a deficient number, since it is larger than the sum of its proper divisors (129002135).

420413305 is a wasteful number, since it uses less digits than its factorization.

420413305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72780.

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 420413305 is about 20503.9826619123. The cubic root of 420413305 is about 749.1328080610.

Adding to 420413305 its reverse (503314024), we get a palindrome (923727329).

The spelling of 420413305 in words is "four hundred twenty million, four hundred thirteen thousand, three hundred five".