1957843440 has 320 divisors, whose sum is σ = 7957585920. Its totient is φ = 432967680.

The previous prime is 1957843427. The next prime is 1957843451. The reversal of 1957843440 is 443487591.

1957843440 is a `hidden beast` number, since 1 + 9 + 578 + 4 + 34 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466632 + ... + 470808.

It is an arithmetic number, because the mean of its divisors is an integer number (24867456).

Almost surely, 2^1957843440 is an apocalyptic number.

1957843440 is a gapful number since it is divisible by the number (10) 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 1957843440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978792960).

1957843440 is an abundant number, since it is smaller than the sum of its proper divisors (5999742480).

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

1957843440 is a wasteful number, since it uses less digits than its factorization.

1957843440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1957843440 is about 44247.5246765285. The cubic root of 1957843440 is about 1251.0057910238.

The spelling of 1957843440 in words is "one billion, nine hundred fifty-seven million, eight hundred forty-three thousand, four hundred forty".