845314400 has 144 divisors (see below), whose sum is σ = 2461342464. Its totient is φ = 277178880.

The previous prime is 845314397. The next prime is 845314429. The reversal of 845314400 is 4413548.

845314400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 125519 + ... + 132081.

It is an arithmetic number, because the mean of its divisors is an integer number (17092656).

Almost surely, 2^845314400 is an apocalyptic number.

845314400 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 845314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230671232).

845314400 is an abundant number, since it is smaller than the sum of its proper divisors (1616028064).

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

845314400 is a wasteful number, since it uses less digits than its factorization.

845314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 845314400 is about 29074.2910489663. The cubic root of 845314400 is about 945.5244329278.

Adding to 845314400 its reverse (4413548), we get a palindrome (849727948).

The spelling of 845314400 in words is "eight hundred forty-five million, three hundred fourteen thousand, four hundred".