257623104 has 28 divisors (see below), whose sum is σ = 681628304. Its totient is φ = 85874304.

The previous prime is 257623103. The next prime is 257623111. The reversal of 257623104 is 401326752.

It is not an unprimeable number, because it can be changed into a prime (257623103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 670702 + ... + 671085.

It is an arithmetic number, because the mean of its divisors is an integer number (24343868).

Almost surely, 2^257623104 is an apocalyptic number.

257623104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257623104 is an abundant number, since it is smaller than the sum of its proper divisors (424005200).

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

257623104 is a wasteful number, since it uses less digits than its factorization.

257623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341802 (or 1341792 counting only the distinct ones).

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

The square root of 257623104 is about 16050.6418563246. The cubic root of 257623104 is about 636.2995306011.

Adding to 257623104 its reverse (401326752), we get a palindrome (658949856).

The spelling of 257623104 in words is "two hundred fifty-seven million, six hundred twenty-three thousand, one hundred four".