957413040 has 80 divisors (see below), whose sum is σ = 3124204800. Its totient is φ = 241871616.

The previous prime is 957413033. The next prime is 957413057. The reversal of 957413040 is 40314759.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 957412992 and 957413010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100420 + ... + 109539.

It is an arithmetic number, because the mean of its divisors is an integer number (39052560).

Almost surely, 2^957413040 is an apocalyptic number.

It is an amenable number.

957413040 is an abundant number, since it is smaller than the sum of its proper divisors (2166791760).

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

957413040 is a wasteful number, since it uses less digits than its factorization.

957413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209994 (or 209988 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 957413040 is about 30942.0917198563. The cubic root of 957413040 is about 985.5979225918.

Adding to 957413040 its reverse (40314759), we get a palindrome (997727799).

The spelling of 957413040 in words is "nine hundred fifty-seven million, four hundred thirteen thousand, forty".