1468880000 has 320 divisors, whose sum is σ = 4346358720. Its totient is φ = 483840000.

The previous prime is 1468879991. The next prime is 1468880009. The reversal of 1468880000 is 888641.

It is an interprime number because it is at equal distance from previous prime (1468879991) and next prime (1468880009).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1468880009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24079970 + ... + 24080030.

It is an arithmetic number, because the mean of its divisors is an integer number (13582371).

Almost surely, 2^1468880000 is an apocalyptic number.

1468880000 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 1468880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173179360).

1468880000 is an abundant number, since it is smaller than the sum of its proper divisors (2877478720).

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

1468880000 is an frugal number, since it uses more digits than its factorization.

1468880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 1468880000 is about 38325.9703073516. The cubic root of 1468880000 is about 1136.7425219006.

The spelling of 1468880000 in words is "one billion, four hundred sixty-eight million, eight hundred eighty thousand".