257430405376 has 81 divisors (see below), whose sum is σ = 542648790621. Its totient is φ = 121867656192.

The previous prime is 257430405361. The next prime is 257430405389. The reversal of 257430405376 is 673504034752.

The square root of 257430405376 is 507376.

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

257430405376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 137326571776 + 120103833600 = 370576^2 + 346560^2 .

It is a super-2 number, since 2×257430405376² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 154241470 + ... + 154243138.

Almost surely, 2^257430405376 is an apocalyptic number.

257430405376 is the 507376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257430405376

257430405376 is an abundant number, since it is smaller than the sum of its proper divisors (285218385245).

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

257430405376 is an frugal number, since it uses more digits than its factorization.

257430405376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 46.

The spelling of 257430405376 in words is "two hundred fifty-seven billion, four hundred thirty million, four hundred five thousand, three hundred seventy-six".