422896000 has 64 divisors (see below), whose sum is σ = 1051464960. Its totient is φ = 169152000.

The previous prime is 422895973. The next prime is 422896007. The reversal of 422896000 is 698224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422896007) 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 7 ways as a sum of consecutive naturals, for example, 2785 + ... + 29215.

It is an arithmetic number, because the mean of its divisors is an integer number (16429140).

Almost surely, 2^422896000 is an apocalyptic number.

422896000 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 422896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525732480).

422896000 is an abundant number, since it is smaller than the sum of its proper divisors (628568960).

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

422896000 is an equidigital number, since it uses as much as digits as its factorization.

422896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26460 (or 26438 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 422896000 is about 20564.4353192593. The cubic root of 422896000 is about 750.6045495991.

The spelling of 422896000 in words is "four hundred twenty-two million, eight hundred ninety-six thousand".