257905152 has 120 divisors (see below), whose sum is σ = 753308556. Its totient is φ = 84934656.

The previous prime is 257905117. The next prime is 257905159. The reversal of 257905152 is 251509752.

257905152 is a `hidden beast` number, since 2 + 57 + 90 + 515 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 231526656 + 26378496 = 15216^2 + 5136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (257905159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446688 + ... + 447264.

Almost surely, 2^257905152 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 257905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376654278).

257905152 is an abundant number, since it is smaller than the sum of its proper divisors (495403404).

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

257905152 is an equidigital number, since it uses as much as digits as its factorization.

257905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 257905152 is about 16059.4256435279. The cubic root of 257905152 is about 636.5316546524.

The spelling of 257905152 in words is "two hundred fifty-seven million, nine hundred five thousand, one hundred fifty-two".