889418400 has 288 divisors, whose sum is σ = 3228543360. Its totient is φ = 211169280.

The previous prime is 889418357. The next prime is 889418417. The reversal of 889418400 is 4814988.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904309 + ... + 905291.

It is an arithmetic number, because the mean of its divisors is an integer number (11210220).

Almost surely, 2^889418400 is an apocalyptic number.

889418400 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 889418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614271680).

889418400 is an abundant number, since it is smaller than the sum of its proper divisors (2339124960).

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

889418400 is a wasteful number, since it uses less digits than its factorization.

889418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 889418400 is about 29823.1185492061. The cubic root of 889418400 is about 961.6905974332.

The spelling of 889418400 in words is "eight hundred eighty-nine million, four hundred eighteen thousand, four hundred".