257505120 has 288 divisors, whose sum is σ = 950328288. Its totient is φ = 63258624.

The previous prime is 257505097. The next prime is 257505169. The reversal of 257505120 is 21505752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640082 + ... + 1640238.

It is an arithmetic number, because the mean of its divisors is an integer number (3299751).

Almost surely, 2^257505120 is an apocalyptic number.

257505120 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 257505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475164144).

257505120 is an abundant number, since it is smaller than the sum of its proper divisors (692823168).

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

257505120 is a wasteful number, since it uses less digits than its factorization.

257505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 257505120 is about 16046.9660683881. The cubic root of 257505120 is about 636.2023801178.

The spelling of 257505120 in words is "two hundred fifty-seven million, five hundred five thousand, one hundred twenty".