257052672 has 156 divisors (see below), whose sum is σ = 783714880. Its totient is φ = 80953344.

The previous prime is 257052661. The next prime is 257052683. The reversal of 257052672 is 276250752.

It is an interprime number because it is at equal distance from previous prime (257052661) and next prime (257052683).

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 11 ways as a sum of consecutive naturals, for example, 700233 + ... + 700599.

Almost surely, 2^257052672 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 257052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391857440).

257052672 is an abundant number, since it is smaller than the sum of its proper divisors (526662208).

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

257052672 is a wasteful number, since it uses less digits than its factorization.

257052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 257052672 is about 16032.8622522618. The cubic root of 257052672 is about 635.8295496711.

The spelling of 257052672 in words is "two hundred fifty-seven million, fifty-two thousand, six hundred seventy-two".