846173952 has 360 divisors, whose sum is σ = 2818504304. Its totient is φ = 250822656.

The previous prime is 846173941. The next prime is 846173957. The reversal of 846173952 is 259371648.

It is a junction number, because it is equal to n+sod(n) for n = 846173898 and 846173907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846173957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11591388 + ... + 11591460.

Almost surely, 2^846173952 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 846173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409252152).

846173952 is an abundant number, since it is smaller than the sum of its proper divisors (1972330352).

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

846173952 is a wasteful number, since it uses less digits than its factorization.

846173952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 846173952 is about 29089.0692872770. The cubic root of 846173952 is about 945.8448076510.

The spelling of 846173952 in words is "eight hundred forty-six million, one hundred seventy-three thousand, nine hundred fifty-two".