845504352 has 384 divisors, whose sum is σ = 3135283200. Its totient is φ = 215308800.

The previous prime is 845504339. The next prime is 845504369. The reversal of 845504352 is 253405548.

845504352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 4723399 + ... + 4723577.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^845504352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

845504352 is an abundant number, since it is smaller than the sum of its proper divisors (2289778848).

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

845504352 is a wasteful number, since it uses less digits than its factorization.

845504352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 845504352 is about 29077.5575315397. The cubic root of 845504352 is about 945.5952510777.

The spelling of 845504352 in words is "eight hundred forty-five million, five hundred four thousand, three hundred fifty-two".