420634401 has 16 divisors (see below), whose sum is σ = 612185088. Its totient is φ = 254782800.

The previous prime is 420634391. The next prime is 420634453. The reversal of 420634401 is 104436024.

It is not a de Polignac number, because 420634401 - 2¹⁰ = 420633377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420633401) 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 15 ways as a sum of consecutive naturals, for example, 89820 + ... + 94386.

It is an arithmetic number, because the mean of its divisors is an integer number (38261568).

Almost surely, 2^420634401 is an apocalyptic number.

420634401 is the 16746-th pentagonal number.

It is an amenable number.

420634401 is a deficient number, since it is larger than the sum of its proper divisors (191550687).

420634401 is a wasteful number, since it uses less digits than its factorization.

420634401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 420634401 is about 20509.3734911625. The cubic root of 420634401 is about 749.2641084098.

It can be divided in two parts, 42063 and 4401, that added together give a palindrome (46464).

The spelling of 420634401 in words is "four hundred twenty million, six hundred thirty-four thousand, four hundred one".