257423328 has 72 divisors (see below), whose sum is σ = 733915728. Its totient is φ = 85588992.

The previous prime is 257423311. The next prime is 257423329. The reversal of 257423328 is 823324752.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 257423292 and 257423301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257423329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143976 + ... + 145752.

It is an arithmetic number, because the mean of its divisors is an integer number (10193274).

Almost surely, 2^257423328 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 257423328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366957864).

257423328 is an abundant number, since it is smaller than the sum of its proper divisors (476492400).

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

257423328 is a wasteful number, since it uses less digits than its factorization.

257423328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2285 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 257423328 is about 16044.4173468531. The cubic root of 257423328 is about 636.1350134631.

The spelling of 257423328 in words is "two hundred fifty-seven million, four hundred twenty-three thousand, three hundred twenty-eight".