1957954256 has 60 divisors (see below), whose sum is σ = 4142117700. Its totient is φ = 895394304.

The previous prime is 1957954213. The next prime is 1957954283. The reversal of 1957954256 is 6524597591.

It can be written as a sum of positive squares in 2 ways, for example, as 1622478400 + 335475856 = 40280^2 + 18316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1957954198 and 1957954207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161660 + ... + 173348.

It is an arithmetic number, because the mean of its divisors is an integer number (69035295).

Almost surely, 2^1957954256 is an apocalyptic number.

1957954256 is a gapful number since it is divisible by the number (16) 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 1957954256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071058850).

1957954256 is an abundant number, since it is smaller than the sum of its proper divisors (2184163444).

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

1957954256 is a wasteful number, since it uses less digits than its factorization.

1957954256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11764 (or 11739 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 53.

The square root of 1957954256 is about 44248.7768870508. The cubic root of 1957954256 is about 1251.0293933268.

The spelling of 1957954256 in words is "one billion, nine hundred fifty-seven million, nine hundred fifty-four thousand, two hundred fifty-six".