845414400 has 228 divisors, whose sum is σ = 2860509872. Its totient is φ = 220200960.

The previous prime is 845414389. The next prime is 845414407. The reversal of 845414400 is 4414548.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (845414407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19660779 + ... + 19660821.

Almost surely, 2^845414400 is an apocalyptic number.

845414400 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 845414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430254936).

845414400 is an abundant number, since it is smaller than the sum of its proper divisors (2015095472).

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

845414400 is an frugal number, since it uses more digits than its factorization.

845414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 845414400 is about 29076.0107304974. The cubic root of 845414400 is about 945.5617163792.

Adding to 845414400 its reverse (4414548), we get a palindrome (849828948).

The spelling of 845414400 in words is "eight hundred forty-five million, four hundred fourteen thousand, four hundred".