1468820000 has 90 divisors (see below), whose sum is σ = 3626900739. Its totient is φ = 585360000.

The previous prime is 1468819999. The next prime is 1468820027. The reversal of 1468820000 is 288641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 339591184 + 1129228816 = 18428^2 + 33604^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=27100.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 5419865 + ... + 5420135.

Almost surely, 2^1468820000 is an apocalyptic number.

1468820000 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 1468820000

1468820000 is an abundant number, since it is smaller than the sum of its proper divisors (2158080739).

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

1468820000 is an frugal number, since it uses more digits than its factorization.

1468820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1468820000 is about 38325.1875403109. The cubic root of 1468820000 is about 1136.7270440127.

The spelling of 1468820000 in words is "one billion, four hundred sixty-eight million, eight hundred twenty thousand".