257628880 has 40 divisors (see below), whose sum is σ = 634225032. Its totient is φ = 96989184.

The previous prime is 257628859. The next prime is 257628887. The reversal of 257628880 is 88826752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 117158976 + 140469904 = 10824^2 + 11852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 257628880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257628887) 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, 93357 + ... + 96076.

Almost surely, 2^257628880 is an apocalyptic number.

257628880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257628880 is an abundant number, since it is smaller than the sum of its proper divisors (376596152).

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

257628880 is a wasteful number, since it uses less digits than its factorization.

257628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189463 (or 189457 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 257628880 is about 16050.8217858152. The cubic root of 257628880 is about 636.3042859182.

The spelling of 257628880 in words is "two hundred fifty-seven million, six hundred twenty-eight thousand, eight hundred eighty".