1438894080 has 288 divisors, whose sum is σ = 5375031480. Its totient is φ = 353894400.

The previous prime is 1438894027. The next prime is 1438894091. The reversal of 1438894080 is 804988341.

It can be written as a sum of positive squares in 4 ways, for example, as 379782144 + 1059111936 = 19488^2 + 32544^2 .

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 (45).

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 23 ways as a sum of consecutive naturals, for example, 1197480 + ... + 1198680.

Almost surely, 2^1438894080 is an apocalyptic number.

1438894080 is a gapful number since it is divisible by the number (10) 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 1438894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687515740).

1438894080 is an abundant number, since it is smaller than the sum of its proper divisors (3936137400).

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

1438894080 is a wasteful number, since it uses less digits than its factorization.

1438894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1438894080 is about 37932.7573477067. The cubic root of 1438894080 is about 1128.9540743515.

The spelling of 1438894080 in words is "one billion, four hundred thirty-eight million, eight hundred ninety-four thousand, eighty".