957340440 has 192 divisors, whose sum is σ = 3628872000. Its totient is φ = 218792448.

The previous prime is 957340387. The next prime is 957340451. The reversal of 957340440 is 44043759.

957340440 is a `hidden beast` number, since 9 + 573 + 40 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 957340395 and 957340404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119604 + ... + 127356.

It is an arithmetic number, because the mean of its divisors is an integer number (18900375).

Almost surely, 2^957340440 is an apocalyptic number.

957340440 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 957340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814436000).

957340440 is an abundant number, since it is smaller than the sum of its proper divisors (2671531560).

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

957340440 is a wasteful number, since it uses less digits than its factorization.

957340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 957340440 is about 30940.9185384015. The cubic root of 957340440 is about 985.5730095484.

The spelling of 957340440 in words is "nine hundred fifty-seven million, three hundred forty thousand, four hundred forty".