257690247424 has 27 divisors (see below), whose sum is σ = 514390105327. Its totient is φ = 128841062656.

The previous prime is 257690247403. The next prime is 257690247427. The reversal of 257690247424 is 424742096752.

The square root of 257690247424 is 507632.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257690247427) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8106249 + ... + 8137975.

Almost surely, 2^257690247424 is an apocalyptic number.

257690247424 is the 507632-nd square number.

It is an amenable number.

257690247424 is a deficient number, since it is larger than the sum of its proper divisors (256699857903).

257690247424 is an frugal number, since it uses more digits than its factorization.

257690247424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63470 (or 31729 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

It can be divided in two parts, 2576 and 90247424, that added together give a square (90250000 = 9500²).

The spelling of 257690247424 in words is "two hundred fifty-seven billion, six hundred ninety million, two hundred forty-seven thousand, four hundred twenty-four".