845818272 has 288 divisors, whose sum is σ = 2791191312. Its totient is φ = 240648192.

The previous prime is 845818241. The next prime is 845818273. The reversal of 845818272 is 272818548.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 398241936 + 447576336 = 19956^2 + 21156^2 .

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (286720) is a multiple of the sum of its prime factors (280).

It is not an unprimeable number, because it can be changed into a prime (845818273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6173788 + ... + 6173924.

Almost surely, 2^845818272 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 845818272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395595656).

845818272 is an abundant number, since it is smaller than the sum of its proper divisors (1945373040).

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

845818272 is a wasteful number, since it uses less digits than its factorization.

845818272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 845818272 is about 29082.9550080455. The cubic root of 845818272 is about 945.7122638922.

The spelling of 845818272 in words is "eight hundred forty-five million, eight hundred eighteen thousand, two hundred seventy-two".