257339040 has 384 divisors, whose sum is σ = 1016064000. Its totient is φ = 53415936.

The previous prime is 257338969. The next prime is 257339051. The reversal of 257339040 is 40933752.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 257338992 and 257339010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1851291 + ... + 1851429.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^257339040 is an apocalyptic number.

257339040 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 257339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

257339040 is an abundant number, since it is smaller than the sum of its proper divisors (758724960).

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

257339040 is a wasteful number, since it uses less digits than its factorization.

257339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 257339040 is about 16041.7904237650. The cubic root of 257339040 is about 636.0655760872.

The spelling of 257339040 in words is "two hundred fifty-seven million, three hundred thirty-nine thousand, forty".