257672352 has 192 divisors, whose sum is σ = 806077440. Its totient is φ = 70557696.

The previous prime is 257672339. The next prime is 257672369. The reversal of 257672352 is 253276752.

257672352 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 self number, because there is not a number n which added to its sum of digits gives 257672352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2656368 + ... + 2656464.

It is an arithmetic number, because the mean of its divisors is an integer number (4198320).

Almost surely, 2^257672352 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 257672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403038720).

257672352 is an abundant number, since it is smaller than the sum of its proper divisors (548405088).

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

257672352 is a wasteful number, since it uses less digits than its factorization.

257672352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 257672352 is about 16052.1759272692. The cubic root of 257672352 is about 636.3400736557.

Adding to 257672352 its product of digits (176400), we get a palindrome (257848752).

The spelling of 257672352 in words is "two hundred fifty-seven million, six hundred seventy-two thousand, three hundred fifty-two".