257490240 has 112 divisors (see below), whose sum is σ = 934346112. Its totient is φ = 58853376.

The previous prime is 257490239. The next prime is 257490241. The reversal of 257490240 is 42094752.

It is an interprime number because it is at equal distance from previous prime (257490239) and next prime (257490241).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257490241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12439 + ... + 25878.

It is an arithmetic number, because the mean of its divisors is an integer number (8342376).

Almost surely, 2^257490240 is an apocalyptic number.

257490240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257490240 is an abundant number, since it is smaller than the sum of its proper divisors (676855872).

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

257490240 is a wasteful number, since it uses less digits than its factorization.

257490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38344 (or 38334 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 257490240 is about 16046.5024226465. The cubic root of 257490240 is about 636.1901255087.

The spelling of 257490240 in words is "two hundred fifty-seven million, four hundred ninety thousand, two hundred forty".