845258400 has 432 divisors, whose sum is σ = 3522774528. Its totient is φ = 186624000.

The previous prime is 845258383. The next prime is 845258437. The reversal of 845258400 is 4852548.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1562130 + ... + 1562670.

Almost surely, 2^845258400 is an apocalyptic number.

845258400 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 845258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761387264).

845258400 is an abundant number, since it is smaller than the sum of its proper divisors (2677516128).

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

845258400 is a wasteful number, since it uses less digits than its factorization.

845258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 845258400 is about 29073.3279828781. The cubic root of 845258400 is about 945.5035529106.

The spelling of 845258400 in words is "eight hundred forty-five million, two hundred fifty-eight thousand, four hundred".