257489280 has 160 divisors (see below), whose sum is σ = 919725840. Its totient is φ = 68649984.

The previous prime is 257489269. The next prime is 257489291. The reversal of 257489280 is 82984752.

257489280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257489269) and next prime (257489291).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49357 + ... + 54323.

Almost surely, 2^257489280 is an apocalyptic number.

257489280 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 257489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459862920).

257489280 is an abundant number, since it is smaller than the sum of its proper divisors (662236560).

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

257489280 is an equidigital number, since it uses as much as digits as its factorization.

257489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 257489280 is about 16046.4725095580. The cubic root of 257489280 is about 636.1893348725.

The spelling of 257489280 in words is "two hundred fifty-seven million, four hundred eighty-nine thousand, two hundred eighty".