257031144 has 80 divisors (see below), whose sum is σ = 727103520. Its totient is φ = 84823200.

The previous prime is 257031139. The next prime is 257031149. The reversal of 257031144 is 441130752.

It is an interprime number because it is at equal distance from previous prime (257031139) and next prime (257031149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (257031149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64819 + ... + 68669.

It is an arithmetic number, because the mean of its divisors is an integer number (9088794).

Almost surely, 2^257031144 is an apocalyptic number.

257031144 is a gapful number since it is divisible by the number (24) 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 257031144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363551760).

257031144 is an abundant number, since it is smaller than the sum of its proper divisors (470072376).

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

257031144 is a wasteful number, since it uses less digits than its factorization.

257031144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 257031144 is about 16032.1908671273. The cubic root of 257031144 is about 635.8117990669.

Adding to 257031144 its reverse (441130752), we get a palindrome (698161896).

The spelling of 257031144 in words is "two hundred fifty-seven million, thirty-one thousand, one hundred forty-four".