1438449408 has 144 divisors (see below), whose sum is σ = 4640697600. Its totient is φ = 435870720.

The previous prime is 1438449403. The next prime is 1438449413. The reversal of 1438449408 is 8049448341.

It is an interprime number because it is at equal distance from previous prime (1438449403) and next prime (1438449413).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438449403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66573 + ... + 85491.

Almost surely, 2^1438449408 is an apocalyptic number.

1438449408 is a gapful number since it is divisible by the number (18) 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 1438449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320348800).

1438449408 is an abundant number, since it is smaller than the sum of its proper divisors (3202248192).

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

1438449408 is a wasteful number, since it uses less digits than its factorization.

1438449408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18955 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1438449408 is about 37926.8955755675. The cubic root of 1438449408 is about 1128.8377660478.

The spelling of 1438449408 in words is "one billion, four hundred thirty-eight million, four hundred forty-nine thousand, four hundred eight".