1468289600 has 84 divisors (see below), whose sum is σ = 3803142000. Its totient is φ = 556392960.

The previous prime is 1468289561. The next prime is 1468289651. The reversal of 1468289600 is 69828641.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6251 + ... + 54549.

It is an arithmetic number, because the mean of its divisors is an integer number (45275500).

Almost surely, 2^1468289600 is an apocalyptic number.

1468289600 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 1468289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901571000).

1468289600 is an abundant number, since it is smaller than the sum of its proper divisors (2334852400).

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

1468289600 is a wasteful number, since it uses less digits than its factorization.

1468289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48340 (or 48325 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 1468289600 is about 38318.2671842034. The cubic root of 1468289600 is about 1136.5902011476.

The spelling of 1468289600 in words is "one billion, four hundred sixty-eight million, two hundred eighty-nine thousand, six hundred".