257481145476 has 81 divisors (see below), whose sum is σ = 680568604261. Its totient is φ = 82073110944.

The previous prime is 257481145469. The next prime is 257481145511. The reversal of 257481145476 is 674541184752.

It is a happy number.

The square root of 257481145476 is 507426.

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

257481145476 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 81 + 14 + 547 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 205508088900 + 51973056576 = 453330^2 + 227976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70022950 + ... + 70026626.

Almost surely, 2^257481145476 is an apocalyptic number.

257481145476 is the 507426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257481145476

257481145476 is an abundant number, since it is smaller than the sum of its proper divisors (423087458785).

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

257481145476 is an equidigital number, since it uses as much as digits as its factorization.

257481145476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410 (or 3705 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 257481145476 in words is "two hundred fifty-seven billion, four hundred eighty-one million, one hundred forty-five thousand, four hundred seventy-six".