257031468 has 120 divisors (see below), whose sum is σ = 724489920. Its totient is φ = 79198560.

The previous prime is 257031461. The next prime is 257031469. The reversal of 257031468 is 864130752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (257031461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264223 + ... + 265193.

It is an arithmetic number, because the mean of its divisors is an integer number (6037416).

Almost surely, 2^257031468 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 257031468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362244960).

257031468 is an abundant number, since it is smaller than the sum of its proper divisors (467458452).

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

257031468 is a wasteful number, since it uses less digits than its factorization.

257031468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 257031468 is about 16032.2009717942. The cubic root of 257031468 is about 635.8120662238.

The spelling of 257031468 in words is "two hundred fifty-seven million, thirty-one thousand, four hundred sixty-eight".