257773672 has 48 divisors (see below), whose sum is σ = 537613740. Its totient is φ = 115734528.

The previous prime is 257773667. The next prime is 257773687. The reversal of 257773672 is 276377752.

257773672 is digitally balanced in base 2, 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 6 ways, for example, as 104162436 + 153611236 = 10206^2 + 12394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47448 + ... + 52600.

Almost surely, 2^257773672 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 257773672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268806870).

257773672 is an abundant number, since it is smaller than the sum of its proper divisors (279840068).

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

257773672 is a wasteful number, since it uses less digits than its factorization.

257773672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5205 counting only the distinct ones).

The product of its digits is 864360, while the sum is 46.

The square root of 257773672 is about 16055.3315755234. The cubic root of 257773672 is about 636.4234683582.

The spelling of 257773672 in words is "two hundred fifty-seven million, seven hundred seventy-three thousand, six hundred seventy-two".