845579952 has 160 divisors (see below), whose sum is σ = 2920051200. Its totient is φ = 228863232.

The previous prime is 845579947. The next prime is 845579953. The reversal of 845579952 is 259975548.

845579952 is a `hidden beast` number, since 84 + 557 + 9 + 9 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (845579953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50098 + ... + 64814.

It is an arithmetic number, because the mean of its divisors is an integer number (18250320).

Almost surely, 2^845579952 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 845579952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460025600).

845579952 is an abundant number, since it is smaller than the sum of its proper divisors (2074471248).

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

845579952 is a wasteful number, since it uses less digits than its factorization.

845579952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760 (or 14748 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 845579952 is about 29078.8574741168. The cubic root of 845579952 is about 945.6234334165.

The spelling of 845579952 in words is "eight hundred forty-five million, five hundred seventy-nine thousand, nine hundred fifty-two".