420407 has 8 divisors (see below), whose sum is σ = 459984. Its totient is φ = 381888.

The previous prime is 420397. The next prime is 420419. The reversal of 420407 is 704024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420407 - 2¹⁰ = 419383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420407.

It is not an unprimeable number, because it can be changed into a prime (420457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 728 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (57498).

2⁴²⁰⁴⁰⁷ is an apocalyptic number.

420407 is a deficient number, since it is larger than the sum of its proper divisors (39577).

420407 is a wasteful number, since it uses less digits than its factorization.

420407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529.

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 420407 is about 648.3880011228. The cubic root of 420407 is about 74.9129063091.

The spelling of 420407 in words is "four hundred twenty thousand, four hundred seven", and thus it is an iban number.