952945952 has 96 divisors (see below), whose sum is σ = 2273725440. Its totient is φ = 384445440.

The previous prime is 952945943. The next prime is 952945957. The reversal of 952945952 is 259549259.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 952945952.

It is not an unprimeable number, because it can be changed into a prime (952945957) 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 15 ways as a sum of consecutive naturals, for example, 255074 + ... + 258782.

It is an arithmetic number, because the mean of its divisors is an integer number (23684640).

Almost surely, 2^952945952 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 952945952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136862720).

952945952 is an abundant number, since it is smaller than the sum of its proper divisors (1320779488).

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

952945952 is a wasteful number, since it uses less digits than its factorization.

952945952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3786 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 50.

The square root of 952945952 is about 30869.8226752277. The cubic root of 952945952 is about 984.0626681395.

The spelling of 952945952 in words is "nine hundred fifty-two million, nine hundred forty-five thousand, nine hundred fifty-two".