257245344 has 36 divisors (see below), whose sum is σ = 731542266. Its totient is φ = 85748352.

The previous prime is 257245321. The next prime is 257245379. The reversal of 257245344 is 443542752.

257245344 is a `hidden beast` number, since 2 + 572 + 45 + 3 + 44 = 666.

257245344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 234090000 + 23155344 = 15300^2 + 4812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 257245299 and 257245308.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 446319 + ... + 446894.

Almost surely, 2^257245344 is an apocalyptic number.

257245344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257245344 is an abundant number, since it is smaller than the sum of its proper divisors (474296922).

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

257245344 is a wasteful number, since it uses less digits than its factorization.

257245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893229 (or 893218 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 257245344 is about 16038.8697856177. The cubic root of 257245344 is about 635.9883705005.

The spelling of 257245344 in words is "two hundred fifty-seven million, two hundred forty-five thousand, three hundred forty-four".