257105376 has 72 divisors (see below), whose sum is σ = 797620824. Its totient is φ = 77909760.

The previous prime is 257105333. The next prime is 257105377. The reversal of 257105376 is 673501752.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×257105376² = 132206348736202752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 257105376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257105377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37411 + ... + 43746.

It is an arithmetic number, because the mean of its divisors is an integer number (11078067).

Almost surely, 2^257105376 is an apocalyptic number.

It is an amenable number.

257105376 is an abundant number, since it is smaller than the sum of its proper divisors (540515448).

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

257105376 is a wasteful number, since it uses less digits than its factorization.

257105376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81184 (or 81173 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 257105376 is about 16034.5057921970. The cubic root of 257105376 is about 635.8730018169.

The spelling of 257105376 in words is "two hundred fifty-seven million, one hundred five thousand, three hundred seventy-six".