257720441 has 24 divisors (see below), whose sum is σ = 290535840. Its totient is φ = 228381120.

The previous prime is 257720423. The next prime is 257720461. The reversal of 257720441 is 144027752.

257720441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257720441 - 2¹⁰ = 257719417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257720398 and 257720407.

It is not an unprimeable number, because it can be changed into a prime (257720401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1439690 + ... + 1439868.

It is an arithmetic number, because the mean of its divisors is an integer number (12105660).

Almost surely, 2^257720441 is an apocalyptic number.

It is an amenable number.

257720441 is a deficient number, since it is larger than the sum of its proper divisors (32815399).

257720441 is a wasteful number, since it uses less digits than its factorization.

257720441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 257720441 is about 16053.6737540041. The cubic root of 257720441 is about 636.3796575874.

The spelling of 257720441 in words is "two hundred fifty-seven million, seven hundred twenty thousand, four hundred forty-one".