898464000 has 432 divisors, whose sum is σ = 3489647616. Its totient is φ = 204288000.

The previous prime is 898463999. The next prime is 898464013. The reversal of 898464000 is 464898.

It is a self number, because there is not a number n which added to its sum of digits gives 898464000.

It is a congruent number.

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, 4703905 + ... + 4704095.

It is an arithmetic number, because the mean of its divisors is an integer number (8077888).

Almost surely, 2^898464000 is an apocalyptic number.

898464000 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 898464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744823808).

898464000 is an abundant number, since it is smaller than the sum of its proper divisors (2591183616).

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

898464000 is a wasteful number, since it uses less digits than its factorization.

898464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 208 counting only the distinct ones).

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

The square root of 898464000 is about 29974.3890680027. The cubic root of 898464000 is about 964.9398156600.

The spelling of 898464000 in words is "eight hundred ninety-eight million, four hundred sixty-four thousand".