422311440 has 80 divisors (see below), whose sum is σ = 1312416000. Its totient is φ = 112336896.

The previous prime is 422311429. The next prime is 422311531. The reversal of 422311440 is 44113224.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105801 + ... + 109719.

It is an arithmetic number, because the mean of its divisors is an integer number (16405200).

Almost surely, 2^422311440 is an apocalyptic number.

422311440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208000).

422311440 is an abundant number, since it is smaller than the sum of its proper divisors (890104560).

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

422311440 is a wasteful number, since it uses less digits than its factorization.

422311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 422311440 is about 20550.2175170970. The cubic root of 422311440 is about 750.2585419756.

Adding to 422311440 its reverse (44113224), we get a palindrome (466424664).

The spelling of 422311440 in words is "four hundred twenty-two million, three hundred eleven thousand, four hundred forty".