420513309 has 32 divisors (see below), whose sum is σ = 661962240. Its totient is φ = 262918656.

The previous prime is 420513283. The next prime is 420513391. The reversal of 420513309 is 903315024.

It is not a de Polignac number, because 420513309 - 2⁹ = 420512797 is a prime.

It is a super-2 number, since 2×420513309² = 353662886092258962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420511309) 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 31 ways as a sum of consecutive naturals, for example, 142204 + ... + 145130.

It is an arithmetic number, because the mean of its divisors is an integer number (20686320).

Almost surely, 2^420513309 is an apocalyptic number.

It is an amenable number.

420513309 is a deficient number, since it is larger than the sum of its proper divisors (241448931).

420513309 is a wasteful number, since it uses less digits than its factorization.

420513309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 420513309 is about 20506.4211650888. The cubic root of 420513309 is about 749.1922022628.

The spelling of 420513309 in words is "four hundred twenty million, five hundred thirteen thousand, three hundred nine".