1468095408 has 160 divisors (see below), whose sum is σ = 4601580480. Its totient is φ = 445409280.

The previous prime is 1468095397. The next prime is 1468095463. The reversal of 1468095408 is 8045908641.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408178 + ... + 411758.

It is an arithmetic number, because the mean of its divisors is an integer number (28759878).

Almost surely, 2^1468095408 is an apocalyptic number.

1468095408 is a gapful number since it is divisible by the number (18) 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 1468095408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300790240).

1468095408 is an abundant number, since it is smaller than the sum of its proper divisors (3133485072).

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

1468095408 is a wasteful number, since it uses less digits than its factorization.

1468095408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1468095408 is about 38315.7331653722. The cubic root of 1468095408 is about 1136.5400914927.

The spelling of 1468095408 in words is "one billion, four hundred sixty-eight million, ninety-five thousand, four hundred eight".