385400257 has 8 divisors (see below), whose sum is σ = 427329792. Its totient is φ = 344619600.

The previous prime is 385400243. The next prime is 385400263. The reversal of 385400257 is 752004583.

It is a happy number.

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 385400257 - 2¹⁹ = 384875969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385400657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286513 + ... + 287854.

It is an arithmetic number, because the mean of its divisors is an integer number (53416224).

Almost surely, 2^385400257 is an apocalyptic number.

It is an amenable number.

385400257 is a deficient number, since it is larger than the sum of its proper divisors (41929535).

385400257 is a wasteful number, since it uses less digits than its factorization.

385400257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574439.

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 385400257 is about 19631.6137135998. The cubic root of 385400257 is about 727.7306500899.

The spelling of 385400257 in words is "three hundred eighty-five million, four hundred thousand, two hundred fifty-seven".