957280 has 48 divisors (see below), whose sum is σ = 2346624. Its totient is φ = 368640.

The previous prime is 957263. The next prime is 957289. The reversal of 957280 is 82759.

957280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957289) by changing a digit.

957280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4864 + ... + 5056.

It is an arithmetic number, because the mean of its divisors is an integer number (48888).

2⁹⁵⁷²⁸⁰ 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 957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173312).

957280 is an abundant number, since it is smaller than the sum of its proper divisors (1389344).

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

957280 is a wasteful number, since it uses less digits than its factorization.

957280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 957280 is about 978.4068683324. The cubic root of 957280 is about 98.5552268307. Note that the first 3 decimals are identical.

The spelling of 957280 in words is "nine hundred fifty-seven thousand, two hundred eighty".