845453952 has 192 divisors, whose sum is σ = 2829153600. Its totient is φ = 237330432.

The previous prime is 845453951. The next prime is 845453977. The reversal of 845453952 is 259354548.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 845453898 and 845453907.

It is not an unprimeable number, because it can be changed into a prime (845453951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474888 + ... + 476664.

It is an arithmetic number, because the mean of its divisors is an integer number (14735175).

Almost surely, 2^845453952 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 845453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414576800).

845453952 is an abundant number, since it is smaller than the sum of its proper divisors (1983699648).

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

845453952 is a wasteful number, since it uses less digits than its factorization.

845453952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1848 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 845453952 is about 29076.6908708677. The cubic root of 845453952 is about 945.5764619185.

The spelling of 845453952 in words is "eight hundred forty-five million, four hundred fifty-three thousand, nine hundred fifty-two".