257230064 has 160 divisors (see below), whose sum is σ = 653291520. Its totient is φ = 95385600.

The previous prime is 257230063. The next prime is 257230069. The reversal of 257230064 is 460032752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257230063) 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 31 ways as a sum of consecutive naturals, for example, 1850507 + ... + 1850645.

It is an arithmetic number, because the mean of its divisors is an integer number (4083072).

Almost surely, 2^257230064 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 257230064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326645760).

257230064 is an abundant number, since it is smaller than the sum of its proper divisors (396061456).

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

257230064 is a wasteful number, since it uses less digits than its factorization.

257230064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 257230064 is about 16038.3934357528. The cubic root of 257230064 is about 635.9757779892.

The spelling of 257230064 in words is "two hundred fifty-seven million, two hundred thirty thousand, sixty-four".