1468728976 has 135 divisors (see below), whose sum is σ = 3438297513. Its totient is φ = 607052160.

The previous prime is 1468728931. The next prime is 1468728977. The reversal of 1468728976 is 6798278641.

The square root of 1468728976 is 38324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 217267600 + 1251461376 = 14740^2 + 35376^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1468728976.

It is not an unprimeable number, because it can be changed into a prime (1468728977) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 21921295 + ... + 21921361.

Almost surely, 2^1468728976 is an apocalyptic number.

1468728976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1468728976 is the 38324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468728976

1468728976 is an abundant number, since it is smaller than the sum of its proper divisors (1969568537).

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

1468728976 is a wasteful number, since it uses less digits than its factorization.

1468728976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 58.

The cubic root of 1468728976 is about 1136.7035622201.

The spelling of 1468728976 in words is "one billion, four hundred sixty-eight million, seven hundred twenty-eight thousand, nine hundred seventy-six".