257265396 has 180 divisors, whose sum is σ = 749425600. Its totient is φ = 76725792.

The previous prime is 257265391. The next prime is 257265433. The reversal of 257265396 is 693562752.

257265396 is a `hidden beast` number, since 257 + 2 + 6 + 5 + 396 = 666.

Its product of digits (680400) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257265391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3256485 + ... + 3256563.

Almost surely, 2^257265396 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 257265396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374712800).

257265396 is an abundant number, since it is smaller than the sum of its proper divisors (492160204).

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

257265396 is a wasteful number, since it uses less digits than its factorization.

257265396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 257265396 is about 16039.4948798271. The cubic root of 257265396 is about 636.0048949427.

The spelling of 257265396 in words is "two hundred fifty-seven million, two hundred sixty-five thousand, three hundred ninety-six".