845258401 has 8 divisors (see below), whose sum is σ = 915666920. Its totient is φ = 780236496.

The previous prime is 845258383. The next prime is 845258437. The reversal of 845258401 is 104852548.

It can be written as a sum of positive squares in 4 ways, for example, as 64000000 + 781258401 = 8000^2 + 27951^2 .

It is not a de Polignac number, because 845258401 - 2¹¹ = 845256353 is a prime.

It is a super-2 number, since 2×845258401² = 1428923528922153602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (845258201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190170 + ... + 194563.

It is an arithmetic number, because the mean of its divisors is an integer number (114458365).

Almost surely, 2^845258401 is an apocalyptic number.

It is an amenable number.

845258401 is a deficient number, since it is larger than the sum of its proper divisors (70408519).

845258401 is an equidigital number, since it uses as much as digits as its factorization.

845258401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384772 (or 384746 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 37.

The square root of 845258401 is about 29073.3280000759. The cubic root of 845258401 is about 945.5035532835.

The spelling of 845258401 in words is "eight hundred forty-five million, two hundred fifty-eight thousand, four hundred one".