420267969 has 36 divisors (see below), whose sum is σ = 674040276. Its totient is φ = 252120000.

The previous prime is 420267949. The next prime is 420267997. The reversal of 420267969 is 969762024.

It can be written as a sum of positive squares in 2 ways, for example, as 392040000 + 28227969 = 19800^2 + 5313^2 .

It is not a de Polignac number, because 420267969 - 2¹² = 420263873 is a prime.

It is a super-2 number, since 2×420267969² = 353250331534769922, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420267949) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 108079 + ... + 111899.

It is an arithmetic number, because the mean of its divisors is an integer number (18723341).

Almost surely, 2^420267969 is an apocalyptic number.

It is an amenable number.

420267969 is a deficient number, since it is larger than the sum of its proper divisors (253772307).

420267969 is a wasteful number, since it uses less digits than its factorization.

420267969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 420267969 is about 20500.4382636079. The cubic root of 420267969 is about 749.0464735635.

The spelling of 420267969 in words is "four hundred twenty million, two hundred sixty-seven thousand, nine hundred sixty-nine".