894698400 has 144 divisors (see below), whose sum is σ = 2941874208. Its totient is φ = 236160000.

The previous prime is 894698393. The next prime is 894698419. The reversal of 894698400 is 4896498.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 894698400.

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, 240555 + ... + 244245.

It is an arithmetic number, because the mean of its divisors is an integer number (20429682).

Almost surely, 2^894698400 is an apocalyptic number.

894698400 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 894698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470937104).

894698400 is an abundant number, since it is smaller than the sum of its proper divisors (2047175808).

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

894698400 is a wasteful number, since it uses less digits than its factorization.

894698400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 894698400 is about 29911.5094904955. The cubic root of 894698400 is about 963.5898578374.

The spelling of 894698400 in words is "eight hundred ninety-four million, six hundred ninety-eight thousand, four hundred".