257255280 has 120 divisors (see below), whose sum is σ = 866998080. Its totient is φ = 68359680.

The previous prime is 257255249. The next prime is 257255287. The reversal of 257255280 is 82552752.

257255280 is a `hidden beast` number, since 2 + 572 + 5 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257255287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309906 + ... + 310734.

It is an arithmetic number, because the mean of its divisors is an integer number (7224984).

Almost surely, 2^257255280 is an apocalyptic number.

257255280 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 257255280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433499040).

257255280 is an abundant number, since it is smaller than the sum of its proper divisors (609742800).

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

257255280 is a wasteful number, since it uses less digits than its factorization.

257255280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 257255280 is about 16039.1795301381. The cubic root of 257255280 is about 635.9965586618.

The spelling of 257255280 in words is "two hundred fifty-seven million, two hundred fifty-five thousand, two hundred eighty".