257990401 has 8 divisors (see below), whose sum is σ = 270289664. Its totient is φ = 245939760.

The previous prime is 257990399. The next prime is 257990429. The reversal of 257990401 is 104099752.

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 257990401 - 2¹ = 257990399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257990431) 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 7 ways as a sum of consecutive naturals, for example, 60030 + ... + 64183.

It is an arithmetic number, because the mean of its divisors is an integer number (33786208).

Almost surely, 2^257990401 is an apocalyptic number.

It is an amenable number.

257990401 is a deficient number, since it is larger than the sum of its proper divisors (12299263).

257990401 is a wasteful number, since it uses less digits than its factorization.

257990401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124311.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 257990401 is about 16062.0795976113. The cubic root of 257990401 is about 636.6017808323.

The spelling of 257990401 in words is "two hundred fifty-seven million, nine hundred ninety thousand, four hundred one".