889430400 has 288 divisors, whose sum is σ = 3218599800. Its totient is φ = 233840640.

The previous prime is 889430359. The next prime is 889430453. The reversal of 889430400 is 4034988.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2563027 + ... + 2563373.

Almost surely, 2^889430400 is an apocalyptic number.

889430400 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 889430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609299900).

889430400 is an abundant number, since it is smaller than the sum of its proper divisors (2329169400).

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

889430400 is a wasteful number, since it uses less digits than its factorization.

889430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 889430400 is about 29823.3197347311. The cubic root of 889430400 is about 961.6949224450.

The spelling of 889430400 in words is "eight hundred eighty-nine million, four hundred thirty thousand, four hundred".