1468709280 has 192 divisors, whose sum is σ = 5182894080. Its totient is φ = 388426752.

The previous prime is 1468709219. The next prime is 1468709287. The reversal of 1468709280 is 829078641.

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 (1468709287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547302 + ... + 549978.

It is an arithmetic number, because the mean of its divisors is an integer number (26994240).

Almost surely, 2^1468709280 is an apocalyptic number.

1468709280 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 1468709280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591447040).

1468709280 is an abundant number, since it is smaller than the sum of its proper divisors (3714184800).

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

1468709280 is a wasteful number, since it uses less digits than its factorization.

1468709280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1468709280 is about 38323.7430322248. The cubic root of 1468709280 is about 1136.6984810436.

The spelling of 1468709280 in words is "one billion, four hundred sixty-eight million, seven hundred nine thousand, two hundred eighty".