846998400 has 192 divisors, whose sum is σ = 2826069120. Its totient is φ = 222935040.

The previous prime is 846998381. The next prime is 846998401. The reversal of 846998400 is 4899648.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 846998400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846998401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 796269 + ... + 797331.

It is an arithmetic number, because the mean of its divisors is an integer number (14719110).

Almost surely, 2^846998400 is an apocalyptic number.

846998400 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 846998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413034560).

846998400 is an abundant number, since it is smaller than the sum of its proper divisors (1979070720).

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

846998400 is a wasteful number, since it uses less digits than its factorization.

846998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1156 counting only the distinct ones).

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

The square root of 846998400 is about 29103.2369333722. The cubic root of 846998400 is about 946.1518945236.

The spelling of 846998400 in words is "eight hundred forty-six million, nine hundred ninety-eight thousand, four hundred".