957535248 has 80 divisors (see below), whose sum is σ = 2619832320. Its totient is φ = 300521088.

The previous prime is 957535231. The next prime is 957535273. The reversal of 957535248 is 842535759.

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

It is a junction number, because it is equal to n+sod(n) for n = 957535197 and 957535206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149161 + ... + 155447.

It is an arithmetic number, because the mean of its divisors is an integer number (32747904).

Almost surely, 2^957535248 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 957535248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309916160).

957535248 is an abundant number, since it is smaller than the sum of its proper divisors (1662297072).

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

957535248 is a wasteful number, since it uses less digits than its factorization.

957535248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6478 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The square root of 957535248 is about 30944.0664425347. The cubic root of 957535248 is about 985.6398560178.

The spelling of 957535248 in words is "nine hundred fifty-seven million, five hundred thirty-five thousand, two hundred forty-eight".