1468000800 has 864 divisors, whose sum is σ = 6590203200. Its totient is φ = 313528320.

The previous prime is 1468000769. The next prime is 1468000861. The reversal of 1468000800 is 80008641.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20109564 + ... + 20109636.

It is an arithmetic number, because the mean of its divisors is an integer number (7627550).

Almost surely, 2^1468000800 is an apocalyptic number.

1468000800 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 1468000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295101600).

1468000800 is an abundant number, since it is smaller than the sum of its proper divisors (5122202400).

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

1468000800 is a wasteful number, since it uses less digits than its factorization.

1468000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1468000800 is about 38314.4985612496. The cubic root of 1468000800 is about 1136.5156770724.

The spelling of 1468000800 in words is "one billion, four hundred sixty-eight million, eight hundred", and thus it is an aban number.