257673312 has 144 divisors (see below), whose sum is σ = 818672400. Its totient is φ = 79252992.

The previous prime is 257673289. The next prime is 257673343. The reversal of 257673312 is 213376752.

257673312 is a `hidden beast` number, since 2 + 576 + 73 + 3 + 12 = 666.

257673312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99814 + ... + 102362.

It is an arithmetic number, because the mean of its divisors is an integer number (5685225).

Almost surely, 2^257673312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257673312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409336200).

257673312 is an abundant number, since it is smaller than the sum of its proper divisors (560999088).

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

257673312 is a wasteful number, since it uses less digits than its factorization.

257673312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2567 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 257673312 is about 16052.2058297294. The cubic root of 257673312 is about 636.3408639173.

The spelling of 257673312 in words is "two hundred fifty-seven million, six hundred seventy-three thousand, three hundred twelve".