257672481 has 8 divisors (see below), whose sum is σ = 374796384. Its totient is φ = 156165120.

The previous prime is 257672461. The next prime is 257672489. The reversal of 257672481 is 184276752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257672481 - 2¹⁰ = 257671457 is a prime.

It is a super-2 number, since 2×257672481² = 132790214929390722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (257672489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3904096 + ... + 3904161.

It is an arithmetic number, because the mean of its divisors is an integer number (46849548).

Almost surely, 2^257672481 is an apocalyptic number.

It is an amenable number.

257672481 is a deficient number, since it is larger than the sum of its proper divisors (117123903).

257672481 is a wasteful number, since it uses less digits than its factorization.

257672481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808271.

The product of its digits is 188160, while the sum is 42.

The square root of 257672481 is about 16052.1799454155. The cubic root of 257672481 is about 636.3401798472.

It can be divided in two parts, 2576 and 72481, that added together give a palindrome (75057).

The spelling of 257672481 in words is "two hundred fifty-seven million, six hundred seventy-two thousand, four hundred eighty-one".