257302080 has 168 divisors, whose sum is σ = 1011521472. Its totient is φ = 58807296.

The previous prime is 257302069. The next prime is 257302091. The reversal of 257302080 is 80203752.

It is an interprime number because it is at equal distance from previous prime (257302069) and next prime (257302091).

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 13779 + ... + 26541.

Almost surely, 2^257302080 is an apocalyptic number.

257302080 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 257302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505760736).

257302080 is an abundant number, since it is smaller than the sum of its proper divisors (754219392).

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

257302080 is a wasteful number, since it uses less digits than its factorization.

257302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 257302080 is about 16040.6383912861. The cubic root of 257302080 is about 636.0351232531.

The spelling of 257302080 in words is "two hundred fifty-seven million, three hundred two thousand, eighty".