1468278720 has 168 divisors, whose sum is σ = 5136459120. Its totient is φ = 384860160.

The previous prime is 1468278709. The next prime is 1468278781. The reversal of 1468278720 is 278728641.

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

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 165600 + ... + 174240.

Almost surely, 2^1468278720 is an apocalyptic number.

1468278720 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 1468278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568229560).

1468278720 is an abundant number, since it is smaller than the sum of its proper divisors (3668180400).

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

1468278720 is a wasteful number, since it uses less digits than its factorization.

1468278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1468278720 is about 38318.1252150989. The cubic root of 1468278720 is about 1136.5873937696.

The spelling of 1468278720 in words is "one billion, four hundred sixty-eight million, two hundred seventy-eight thousand, seven hundred twenty".