1438258752 has 168 divisors, whose sum is σ = 4988820096. Its totient is φ = 386740224.

The previous prime is 1438258739. The next prime is 1438258763. The reversal of 1438258752 is 2578528341.

1438258752 is a `hidden beast` number, since 14 + 3 + 8 + 2 + 587 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 1438258698 and 1438258707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58053 + ... + 79035.

Almost surely, 2^1438258752 is an apocalyptic number.

1438258752 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 1438258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494410048).

1438258752 is an abundant number, since it is smaller than the sum of its proper divisors (3550561344).

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

1438258752 is a wasteful number, since it uses less digits than its factorization.

1438258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21025 (or 21012 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 1438258752 is about 37924.3820252882. The cubic root of 1438258752 is about 1128.7878907675.

The spelling of 1438258752 in words is "one billion, four hundred thirty-eight million, two hundred fifty-eight thousand, seven hundred fifty-two".