257654742 has 32 divisors (see below), whose sum is σ = 534280320. Its totient is φ = 82774080.

The previous prime is 257654729. The next prime is 257654743. The reversal of 257654742 is 247456752.

It is a junction number, because it is equal to n+sod(n) for n = 257654694 and 257654703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257654743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14109 + ... + 26727.

It is an arithmetic number, because the mean of its divisors is an integer number (16696260).

Almost surely, 2^257654742 is an apocalyptic number.

257654742 is an abundant number, since it is smaller than the sum of its proper divisors (276625578).

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

257654742 is a wasteful number, since it uses less digits than its factorization.

257654742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12748.

The product of its digits is 470400, while the sum is 42.

The square root of 257654742 is about 16051.6273941305. The cubic root of 257654742 is about 636.3255769458.

The spelling of 257654742 in words is "two hundred fifty-seven million, six hundred fifty-four thousand, seven hundred forty-two".