889405440 has 480 divisors, whose sum is σ = 3623768064. Its totient is φ = 180879360.

The previous prime is 889405403. The next prime is 889405441. The reversal of 889405440 is 44504988.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 889405392 and 889405401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889405441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18923497 + ... + 18923543.

Almost surely, 2^889405440 is an apocalyptic number.

889405440 is a gapful number since it is divisible by the number (80) 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 889405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811884032).

889405440 is an abundant number, since it is smaller than the sum of its proper divisors (2734362624).

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

889405440 is a wasteful number, since it uses less digits than its factorization.

889405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 889405440 is about 29822.9012673147. The cubic root of 889405440 is about 961.6859263768.

The spelling of 889405440 in words is "eight hundred eighty-nine million, four hundred five thousand, four hundred forty".