952971248 has 40 divisors (see below), whose sum is σ = 1946542080. Its totient is φ = 451293120.

The previous prime is 952971247. The next prime is 952971251. The reversal of 952971248 is 842179259.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952971247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2873 + ... + 43751.

It is an arithmetic number, because the mean of its divisors is an integer number (48663552).

Almost surely, 2^952971248 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 952971248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973271040).

952971248 is an abundant number, since it is smaller than the sum of its proper divisors (993570832).

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

952971248 is a wasteful number, since it uses less digits than its factorization.

952971248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40965 (or 40959 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 952971248 is about 30870.2323930352. The cubic root of 952971248 is about 984.0713753941.

The spelling of 952971248 in words is "nine hundred fifty-two million, nine hundred seventy-one thousand, two hundred forty-eight".