257696320 has 112 divisors (see below), whose sum is σ = 725667840. Its totient is φ = 85284864.

The previous prime is 257696281. The next prime is 257696321. The reversal of 257696320 is 23696752.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257696321) 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 15 ways as a sum of consecutive naturals, for example, 62977 + ... + 66943.

Almost surely, 2^257696320 is an apocalyptic number.

257696320 is a gapful number since it is divisible by the number (20) 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 257696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362833920).

257696320 is an abundant number, since it is smaller than the sum of its proper divisors (467971520).

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

257696320 is a wasteful number, since it uses less digits than its factorization.

257696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 257696320 is about 16052.9224753625. The cubic root of 257696320 is about 636.3598032670.

The spelling of 257696320 in words is "two hundred fifty-seven million, six hundred ninety-six thousand, three hundred twenty".