420434001 has 24 divisors (see below), whose sum is σ = 666358056. Its totient is φ = 253843200.

The previous prime is 420433999. The next prime is 420434009. The reversal of 420434001 is 100434024.

It can be written as a sum of positive squares in 4 ways, for example, as 38192400 + 382241601 = 6180^2 + 19551^2 .

It is not a de Polignac number, because 420434001 - 2¹ = 420433999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420434009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27700 + ... + 40101.

It is an arithmetic number, because the mean of its divisors is an integer number (27764919).

Almost surely, 2^420434001 is an apocalyptic number.

It is an amenable number.

420434001 is a deficient number, since it is larger than the sum of its proper divisors (245924055).

420434001 is a wasteful number, since it uses less digits than its factorization.

420434001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67873 (or 67870 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420434001 is about 20504.4873381414. The cubic root of 420434001 is about 749.1451005662.

Adding to 420434001 its reverse (100434024), we get a palindrome (520868025).

The spelling of 420434001 in words is "four hundred twenty million, four hundred thirty-four thousand, one".