957495240 has 192 divisors, whose sum is σ = 3383780400. Its totient is φ = 233404416.

The previous prime is 957495193. The next prime is 957495241. The reversal of 957495240 is 42594759.

It can be written as a sum of positive squares in 8 ways, for example, as 382358916 + 575136324 = 19554^2 + 23982^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (957495241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509182 + ... + 511058.

Almost surely, 2^957495240 is an apocalyptic number.

957495240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957495240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691890200).

957495240 is an abundant number, since it is smaller than the sum of its proper divisors (2426285160).

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

957495240 is a wasteful number, since it uses less digits than its factorization.

957495240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 957495240 is about 30943.4199790521. The cubic root of 957495240 is about 985.6261284018.

The spelling of 957495240 in words is "nine hundred fifty-seven million, four hundred ninety-five thousand, two hundred forty".