257040784 has 120 divisors (see below), whose sum is σ = 674192960. Its totient is φ = 92378880.

The previous prime is 257040781. The next prime is 257040787. The reversal of 257040784 is 487040752.

It is an interprime number because it is at equal distance from previous prime (257040781) and next prime (257040787).

It is not an unprimeable number, because it can be changed into a prime (257040781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175447 + ... + 176905.

Almost surely, 2^257040784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257040784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337096480).

257040784 is an abundant number, since it is smaller than the sum of its proper divisors (417152176).

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

257040784 is a wasteful number, since it uses less digits than its factorization.

257040784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 257040784 is about 16032.4915094317. The cubic root of 257040784 is about 635.8197477134.

The spelling of 257040784 in words is "two hundred fifty-seven million, forty thousand, seven hundred eighty-four".