257362401 has 8 divisors (see below), whose sum is σ = 343224000. Its totient is φ = 171537872.

The previous prime is 257362393. The next prime is 257362421. The reversal of 257362401 is 104263752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257362401 - 2³ = 257362393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257362421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22231 + ... + 31763.

It is an arithmetic number, because the mean of its divisors is an integer number (42903000).

Almost surely, 2^257362401 is an apocalyptic number.

It is an amenable number.

257362401 is a deficient number, since it is larger than the sum of its proper divisors (85861599).

257362401 is an equidigital number, since it uses as much as digits as its factorization.

257362401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18535.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 257362401 is about 16042.5185366887. The cubic root of 257362401 is about 636.0848226530.

The spelling of 257362401 in words is "two hundred fifty-seven million, three hundred sixty-two thousand, four hundred one".