257247320 has 64 divisors (see below), whose sum is σ = 636387840. Its totient is φ = 92809600.

The previous prime is 257247317. The next prime is 257247323. The reversal of 257247320 is 23742752.

It is an interprime number because it is at equal distance from previous prime (257247317) and next prime (257247323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257247323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55409 + ... + 59871.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2^257247320 is an apocalyptic number.

257247320 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 257247320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318193920).

257247320 is an abundant number, since it is smaller than the sum of its proper divisors (379140520).

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

257247320 is a wasteful number, since it uses less digits than its factorization.

257247320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 257247320 is about 16038.9313858499. The cubic root of 257247320 is about 635.9899989198.

The spelling of 257247320 in words is "two hundred fifty-seven million, two hundred forty-seven thousand, three hundred twenty".