948909552 has 80 divisors (see below), whose sum is σ = 2640485760. Its totient is φ = 292674816.

The previous prime is 948909499. The next prime is 948909557. The reversal of 948909552 is 255909849.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 948909495 and 948909504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948909557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27118 + ... + 51314.

It is an arithmetic number, because the mean of its divisors is an integer number (33006072).

Almost surely, 2^948909552 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 948909552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320242880).

948909552 is an abundant number, since it is smaller than the sum of its proper divisors (1691576208).

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

948909552 is a wasteful number, since it uses less digits than its factorization.

948909552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24270 (or 24264 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 948909552 is about 30804.3755333556. The cubic root of 948909552 is about 982.6713013799.

The spelling of 948909552 in words is "nine hundred forty-eight million, nine hundred nine thousand, five hundred fifty-two".