845892450 has 192 divisors, whose sum is σ = 2534421120. Its totient is φ = 206219520.

The previous prime is 845892449. The next prime is 845892451. The reversal of 845892450 is 54298548.

845892450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (845892449) and next prime (845892451).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 845892396 and 845892405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845892451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2755197 + ... + 2755503.

It is an arithmetic number, because the mean of its divisors is an integer number (13200110).

Almost surely, 2^845892450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845892450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267210560).

845892450 is an abundant number, since it is smaller than the sum of its proper divisors (1688528670).

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

845892450 is a wasteful number, since it uses less digits than its factorization.

845892450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 845892450 is about 29084.2302631512. The cubic root of 845892450 is about 945.7399093080.

The spelling of 845892450 in words is "eight hundred forty-five million, eight hundred ninety-two thousand, four hundred fifty".