257030160 has 80 divisors (see below), whose sum is σ = 800305920. Its totient is φ = 68239360.

The previous prime is 257030159. The next prime is 257030227. The reversal of 257030160 is 61030752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 257030160.

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 15 ways as a sum of consecutive naturals, for example, 55120 + ... + 59600.

It is an arithmetic number, because the mean of its divisors is an integer number (10003824).

Almost surely, 2^257030160 is an apocalyptic number.

257030160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257030160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400152960).

257030160 is an abundant number, since it is smaller than the sum of its proper divisors (543275760).

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

257030160 is a wasteful number, since it uses less digits than its factorization.

257030160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 257030160 is about 16032.1601788405. The cubic root of 257030160 is about 635.8109877001.

The spelling of 257030160 in words is "two hundred fifty-seven million, thirty thousand, one hundred sixty".