1448764416 has 264 divisors, whose sum is σ = 4721004288. Its totient is φ = 423936000.

The previous prime is 1448764403. The next prime is 1448764417. The reversal of 1448764416 is 6144678441.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (1448764417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3142426 + ... + 3142886.

It is an arithmetic number, because the mean of its divisors is an integer number (17882592).

Almost surely, 2^1448764416 is an apocalyptic number.

1448764416 is a gapful number since it is divisible by the number (16) 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 1448764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360502144).

1448764416 is an abundant number, since it is smaller than the sum of its proper divisors (3272239872).

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

1448764416 is a wasteful number, since it uses less digits than its factorization.

1448764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1448764416 is about 38062.6380588629. The cubic root of 1448764416 is about 1131.5296109863.

The spelling of 1448764416 in words is "one billion, four hundred forty-eight million, seven hundred sixty-four thousand, four hundred sixteen".