889406400 has 168 divisors, whose sum is σ = 2942986240. Its totient is φ = 235146240.

The previous prime is 889406393. The next prime is 889406417. The reversal of 889406400 is 4604988.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

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, 608871 + ... + 610329.

Almost surely, 2^889406400 is an apocalyptic number.

889406400 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 889406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471493120).

889406400 is an abundant number, since it is smaller than the sum of its proper divisors (2053579840).

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

889406400 is a wasteful number, since it uses less digits than its factorization.

889406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 889406400 is about 29822.9173623239. The cubic root of 889406400 is about 961.6862723825.

The spelling of 889406400 in words is "eight hundred eighty-nine million, four hundred six thousand, four hundred".