948393552 has 160 divisors (see below), whose sum is σ = 2686970880. Its totient is φ = 287078400.

The previous prime is 948393547. The next prime is 948393577. The reversal of 948393552 is 255393849.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 5298199 + ... + 5298377.

It is an arithmetic number, because the mean of its divisors is an integer number (16793568).

Almost surely, 2^948393552 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 948393552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343485440).

948393552 is an abundant number, since it is smaller than the sum of its proper divisors (1738577328).

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

948393552 is a wasteful number, since it uses less digits than its factorization.

948393552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 948393552 is about 30795.9989609040. The cubic root of 948393552 is about 982.4931494061.

The spelling of 948393552 in words is "nine hundred forty-eight million, three hundred ninety-three thousand, five hundred fifty-two".