257211360 has 576 divisors, whose sum is σ = 1132185600. Its totient is φ = 51757056.

The previous prime is 257211359. The next prime is 257211389. The reversal of 257211360 is 63112752.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3255801 + ... + 3255879.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^257211360 is an apocalyptic number.

257211360 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 257211360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

257211360 is an abundant number, since it is smaller than the sum of its proper divisors (874974240).

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

257211360 is a wasteful number, since it uses less digits than its factorization.

257211360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 257211360 is about 16037.8103243554. The cubic root of 257211360 is about 635.9603630217.

The spelling of 257211360 in words is "two hundred fifty-seven million, two hundred eleven thousand, three hundred sixty".