420464601 has 14 divisors (see below), whose sum is σ = 630409610. Its totient is φ = 280309248.

The previous prime is 420464573. The next prime is 420464617. The reversal of 420464601 is 106464024.

It can be written as a sum of positive squares in only one way, i.e., 228614400 + 191850201 = 15120^2 + 13851^2 .

It is not a de Polignac number, because 420464601 - 2⁶ = 420464537 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420464641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 287656 + ... + 289113.

Almost surely, 2^420464601 is an apocalyptic number.

It is an amenable number.

420464601 is a deficient number, since it is larger than the sum of its proper divisors (209945009).

420464601 is an frugal number, since it uses more digits than its factorization.

420464601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576787 (or 576772 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 420464601 is about 20505.2335026939. The cubic root of 420464601 is about 749.1632748685.

The spelling of 420464601 in words is "four hundred twenty million, four hundred sixty-four thousand, six hundred one".