422464 has 56 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 168960.

The previous prime is 422459. The next prime is 422479. The reversal of 422464 is 464224.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10284 + ... + 10324.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2⁴²²⁴⁶⁴ 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 422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

422464 is an abundant number, since it is smaller than the sum of its proper divisors (601664).

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

422464 is a wasteful number, since it uses less digits than its factorization.

422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 422464 is about 649.9723071024. The cubic root of 422464 is about 75.0348874727.

Adding to 422464 its reverse (464224), we get a palindrome (886688).

The spelling of 422464 in words is "four hundred twenty-two thousand, four hundred sixty-four".