845250000 has 420 divisors, whose sum is σ = 3313082592. Its totient is φ = 184800000.

The previous prime is 845249971. The next prime is 845250001. The reversal of 845250000 is 52548.

845250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845250001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 36749989 + ... + 36750011.

Almost surely, 2^845250000 is an apocalyptic number.

845250000 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 845250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656541296).

845250000 is an abundant number, since it is smaller than the sum of its proper divisors (2467832592).

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

845250000 is an equidigital number, since it uses as much as digits as its factorization.

845250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 845250000 is about 29073.1835202133. The cubic root of 845250000 is about 945.5004208285.

It can be divided in two parts, 84 and 5250000, that multiplied together give a square (441000000 = 21000²).

The spelling of 845250000 in words is "eight hundred forty-five million, two hundred fifty thousand".