845049600 has 324 divisors, whose sum is σ = 3202670016. Its totient is φ = 211845120.

The previous prime is 845049599. The next prime is 845049619. The reversal of 845049600 is 6940548.

845049600 is a `hidden beast` number, since 8 + 4 + 5 + 0 + 49 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 978769 + ... + 979631.

It is an arithmetic number, because the mean of its divisors is an integer number (9884784).

Almost surely, 2^845049600 is an apocalyptic number.

845049600 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 845049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601335008).

845049600 is an abundant number, since it is smaller than the sum of its proper divisors (2357620416).

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

845049600 is a wasteful number, since it uses less digits than its factorization.

845049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 845049600 is about 29069.7368409141. The cubic root of 845049600 is about 945.4256921444.

The spelling of 845049600 in words is "eight hundred forty-five million, forty-nine thousand, six hundred".