898214400 has 480 divisors, whose sum is σ = 3470670720. Its totient is φ = 227082240.

The previous prime is 898214393. The next prime is 898214441. The reversal of 898214400 is 4412898.

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 (36).

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 47 ways as a sum of consecutive naturals, for example, 7948744 + ... + 7948856.

It is an arithmetic number, because the mean of its divisors is an integer number (7230564).

Almost surely, 2^898214400 is an apocalyptic number.

898214400 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 898214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735335360).

898214400 is an abundant number, since it is smaller than the sum of its proper divisors (2572456320).

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

898214400 is a wasteful number, since it uses less digits than its factorization.

898214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 898214400 is about 29970.2252243789. The cubic root of 898214400 is about 964.8504515584.

The spelling of 898214400 in words is "eight hundred ninety-eight million, two hundred fourteen thousand, four hundred".