420979 has 12 divisors (see below), whose sum is σ = 474336. Its totient is φ = 373152.

The previous prime is 420977. The next prime is 420997. The reversal of 420979 is 979024.

420979 = T₁₂₇ + T₁₂₈ + ... + T₁₆₅.

It is not a de Polignac number, because 420979 - 2¹ = 420977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420979.

It is not an unprimeable number, because it can be changed into a prime (420977) 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 11 ways as a sum of consecutive naturals, for example, 7917 + ... + 7969.

It is an arithmetic number, because the mean of its divisors is an integer number (39528).

2⁴²⁰⁹⁷⁹ is an apocalyptic number.

420979 is a deficient number, since it is larger than the sum of its proper divisors (53357).

420979 is a wasteful number, since it uses less digits than its factorization.

420979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 420979 is about 648.8289451003. The cubic root of 420979 is about 74.9468660697.

It can be divided in two parts, 42097 and 9, that multiplied together give a palindrome (378873).

The spelling of 420979 in words is "four hundred twenty thousand, nine hundred seventy-nine".