1438968960 has 384 divisors, whose sum is σ = 5840976960. Its totient is φ = 321822720.

The previous prime is 1438968953. The next prime is 1438969003. The reversal of 1438968960 is 698698341.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1438968897 and 1438968906.

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 47 ways as a sum of consecutive naturals, for example, 822807 + ... + 824553.

Almost surely, 2^1438968960 is an apocalyptic number.

1438968960 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 1438968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920488480).

1438968960 is an abundant number, since it is smaller than the sum of its proper divisors (4402008000).

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

1438968960 is a wasteful number, since it uses less digits than its factorization.

1438968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 1438968960 is about 37933.7443445806. The cubic root of 1438968960 is about 1128.9736575893.

The spelling of 1438968960 in words is "one billion, four hundred thirty-eight million, nine hundred sixty-eight thousand, nine hundred sixty".