1468338560 has 128 divisors (see below), whose sum is σ = 3902895360. Its totient is φ = 524574720.

The previous prime is 1468338551. The next prime is 1468338581. The reversal of 1468338560 is 658338641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 255074 + ... + 260766.

It is an arithmetic number, because the mean of its divisors is an integer number (30491370).

Almost surely, 2^1468338560 is an apocalyptic number.

1468338560 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 1468338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951447680).

1468338560 is an abundant number, since it is smaller than the sum of its proper divisors (2434556800).

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

1468338560 is a wasteful number, since it uses less digits than its factorization.

1468338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 1468338560 is about 38318.9060386645. The cubic root of 1468338560 is about 1136.6028341772.

The spelling of 1468338560 in words is "one billion, four hundred sixty-eight million, three hundred thirty-eight thousand, five hundred sixty".