1322448000 has 128 divisors (see below), whose sum is σ = 4384074240. Its totient is φ = 352640000.

The previous prime is 1322447983. The next prime is 1322448019. The reversal of 1322448000 is 8442231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 34225 + ... + 61775.

It is an arithmetic number, because the mean of its divisors is an integer number (34250580).

Almost surely, 2^1322448000 is an apocalyptic number.

1322448000 is a gapful number since it is divisible by the number (10) 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 1322448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192037120).

1322448000 is an abundant number, since it is smaller than the sum of its proper divisors (3061626240).

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

1322448000 is an equidigital number, since it uses as much as digits as its factorization.

1322448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27583 (or 27561 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1322448000 is about 36365.4781351765. The cubic root of 1322448000 is about 1097.6390132529.

The spelling of 1322448000 in words is "one billion, three hundred twenty-two million, four hundred forty-eight thousand".