1323480000 has 280 divisors, whose sum is σ = 4499122320. Its totient is φ = 343040000.

The previous prime is 1323479957. The next prime is 1323480043. The reversal of 1323480000 is 843231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1323479957) and next prime (1323480043).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4919866 + ... + 4920134.

It is an arithmetic number, because the mean of its divisors is an integer number (16068294).

Almost surely, 2^1323480000 is an apocalyptic number.

1323480000 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 1323480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249561160).

1323480000 is an abundant number, since it is smaller than the sum of its proper divisors (3175642320).

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

1323480000 is an equidigital number, since it uses as much as digits as its factorization.

1323480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1323480000 is about 36379.6646493615. The cubic root of 1323480000 is about 1097.9244608800.

It can be divided in two parts, 1323 and 480000, that multiplied together give a square (635040000 = 25200²).

The spelling of 1323480000 in words is "one billion, three hundred twenty-three million, four hundred eighty thousand".