1448020992 has 176 divisors, whose sum is σ = 4275315072. Its totient is φ = 432046080.

The previous prime is 1448020967. The next prime is 1448021009. The reversal of 1448020992 is 2990208441.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×1448020992³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1448020992.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2466523 + ... + 2467109.

Almost surely, 2^1448020992 is an apocalyptic number.

1448020992 is a gapful number since it is divisible by the number (12) 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 1448020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137657536).

1448020992 is an abundant number, since it is smaller than the sum of its proper divisors (2827294080).

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

1448020992 is a wasteful number, since it uses less digits than its factorization.

1448020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1448020992 is about 38052.8710086374. The cubic root of 1448020992 is about 1131.3360321942.

The spelling of 1448020992 in words is "one billion, four hundred forty-eight million, twenty thousand, nine hundred ninety-two".