422964 has 36 divisors (see below), whose sum is σ = 1106560. Its totient is φ = 136080.

The previous prime is 422927. The next prime is 422969. The reversal of 422964 is 469224.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam 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 422964.

It is not an unprimeable number, because it can be changed into a prime (422969) by changing a digit.

422964 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 11 ways as a sum of consecutive naturals, for example, 927 + ... + 1305.

2⁴²²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553280).

422964 is an abundant number, since it is smaller than the sum of its proper divisors (683596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422964 is a wasteful number, since it uses less digits than its factorization.

422964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 415 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 422964 is about 650.3568251352. The cubic root of 422964 is about 75.0644778855.

The spelling of 422964 in words is "four hundred twenty-two thousand, nine hundred sixty-four".