1957283461 has 64 divisors (see below), whose sum is σ = 2528064000. Its totient is φ = 1478062080.

The previous prime is 1957283459. The next prime is 1957283477. The reversal of 1957283461 is 1643827591.

1957283461 is a nontrivial binomial coefficient, being equal to C(62567, 2).

It is a 6-Lehmer number, since φ(1957283461) divides (1957283461-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 1957283461 - 2¹ = 1957283459 is a prime.

It is a deceptive number, since it divides R_1957283460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957283411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17956675 + ... + 17956783.

It is an arithmetic number, because the mean of its divisors is an integer number (39501000).

It is a Poulet number, since it divides 2^1957283460-1.

Almost surely, 2^1957283461 is an apocalyptic number.

1957283461 is the 62566-th triangular number and also the 25543-rd octagonal number.

1957283461 is the 20856-th centered nonagonal number.

It is an amenable number.

1957283461 is a deficient number, since it is larger than the sum of its proper divisors (570780539).

1957283461 is a wasteful number, since it uses less digits than its factorization.

1957283461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its digits is 362880, while the sum is 46.

The square root of 1957283461 is about 44241.1964236954. The cubic root of 1957283461 is about 1250.8865094788.

The spelling of 1957283461 in words is "one billion, nine hundred fifty-seven million, two hundred eighty-three thousand, four hundred sixty-one".