420209001 has 9 divisors (see below), whose sum is σ = 607057399. Its totient is φ = 280098336.

The previous prime is 420208993. The next prime is 420209021. The reversal of 420209001 is 100902024.

The square root of 420209001 is 20499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52490025 + 367718976 = 7245^2 + 19176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 420209001 - 2³ = 420208993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420209021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58081 + ... + 64913.

Almost surely, 2^420209001 is an apocalyptic number.

420209001 is the 20499-th square number.

420209001 is the 10250-th centered octagonal number.

It is an amenable number.

420209001 is a deficient number, since it is larger than the sum of its proper divisors (186848398).

420209001 is an frugal number, since it uses more digits than its factorization.

420209001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13672 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 420209001 is about 749.0114389018.

Multiplying 420209001 by its product of nonzero digits (144), we get a square (60510096144 = 245988²).

The spelling of 420209001 in words is "four hundred twenty million, two hundred nine thousand, one".