1468892448 has 48 divisors (see below), whose sum is σ = 4284272160. Its totient is φ = 489630528.

The previous prime is 1468892407. The next prime is 1468892549. The reversal of 1468892448 is 8442988641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1468892394 and 1468892403.

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 7 ways as a sum of consecutive naturals, for example, 849190 + ... + 850917.

It is an arithmetic number, because the mean of its divisors is an integer number (89255670).

Almost surely, 2^1468892448 is an apocalyptic number.

1468892448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1468892448 is an abundant number, since it is smaller than the sum of its proper divisors (2815379712).

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

1468892448 is a wasteful number, since it uses less digits than its factorization.

1468892448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700126 (or 1700112 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 1468892448 is about 38326.1327034179. The cubic root of 1468892448 is about 1136.7457329937.

The spelling of 1468892448 in words is "one billion, four hundred sixty-eight million, eight hundred ninety-two thousand, four hundred forty-eight".