1449880992 has 288 divisors, whose sum is σ = 5136566400. Its totient is φ = 395974656.

The previous prime is 1449880981. The next prime is 1449881003. The reversal of 1449880992 is 2990889441.

It is an interprime number because it is at equal distance from previous prime (1449880981) and next prime (1449881003).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972984 + ... + 974472.

It is an arithmetic number, because the mean of its divisors is an integer number (17835300).

Almost surely, 2^1449880992 is an apocalyptic number.

1449880992 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 1449880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568283200).

1449880992 is an abundant number, since it is smaller than the sum of its proper divisors (3686685408).

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

1449880992 is a wasteful number, since it uses less digits than its factorization.

1449880992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1449880992 is about 38077.3028456586. The cubic root of 1449880992 is about 1131.8202297486.

The spelling of 1449880992 in words is "one billion, four hundred forty-nine million, eight hundred eighty thousand, nine hundred ninety-two".