420634407 has 16 divisors (see below), whose sum is σ = 593640320. Its totient is φ = 264189600.

The previous prime is 420634391. The next prime is 420634453. The reversal of 420634407 is 704436024.

It is not a de Polignac number, because 420634407 - 2⁴ = 420634391 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420634307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10069 + ... + 30702.

It is an arithmetic number, because the mean of its divisors is an integer number (37102520).

Almost surely, 2^420634407 is an apocalyptic number.

420634407 is a deficient number, since it is larger than the sum of its proper divisors (173005913).

420634407 is a wasteful number, since it uses less digits than its factorization.

420634407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40974.

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 420634407 is about 20509.3736374371. The cubic root of 420634407 is about 749.2641119723.

The spelling of 420634407 in words is "four hundred twenty million, six hundred thirty-four thousand, four hundred seven".