845256420 has 216 divisors, whose sum is σ = 2784075840. Its totient is φ = 206962560.

The previous prime is 845256383. The next prime is 845256421. The reversal of 845256420 is 24652548.

It is a happy number.

845256420 is a `hidden beast` number, since 8 + 4 + 5 + 2 + 5 + 642 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845256421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11904985 + ... + 11905055.

It is an arithmetic number, because the mean of its divisors is an integer number (12889240).

Almost surely, 2^845256420 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 845256420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392037920).

845256420 is an abundant number, since it is smaller than the sum of its proper divisors (1938819420).

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

845256420 is a wasteful number, since it uses less digits than its factorization.

845256420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 845256420 is about 29073.2939310289. The cubic root of 845256420 is about 945.5028146360.

The spelling of 845256420 in words is "eight hundred forty-five million, two hundred fifty-six thousand, four hundred twenty".