1468380960 has 168 divisors, whose sum is σ = 5201608860. Its totient is φ = 391537152.

The previous prime is 1468380943. The next prime is 1468380961. The reversal of 1468380960 is 690838641.

It can be written as a sum of positive squares in 2 ways, for example, as 1324668816 + 143712144 = 36396^2 + 11988^2 .

It is a super-2 number, since 2×1468380960² = 4312285287381043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1468380961) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 110346 + ... + 122934.

Almost surely, 2^1468380960 is an apocalyptic number.

1468380960 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 1468380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600804430).

1468380960 is an abundant number, since it is smaller than the sum of its proper divisors (3733227900).

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

1468380960 is an equidigital number, since it uses as much as digits as its factorization.

1468380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12622 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1468380960 is about 38319.4592863730. The cubic root of 1468380960 is about 1136.6137743190.

The spelling of 1468380960 in words is "one billion, four hundred sixty-eight million, three hundred eighty thousand, nine hundred sixty".