420964 has 24 divisors (see below), whose sum is σ = 806400. Its totient is φ = 191520.

The previous prime is 420941. The next prime is 420967. The reversal of 420964 is 469024.

It is not an unprimeable number, because it can be changed into a prime (420967) by changing a digit.

420964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2109 + ... + 2299.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁴²⁰⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

420964 is a deficient number, since it is larger than the sum of its proper divisors (385436).

420964 is a wasteful number, since it uses less digits than its factorization.

420964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 420964 is about 648.8173857103. The cubic root of 420964 is about 74.9459759095.

Adding to 420964 its reverse (469024), we get a palindrome (889988).

The spelling of 420964 in words is "four hundred twenty thousand, nine hundred sixty-four".