257016064 has 72 divisors (see below), whose sum is σ = 551328120. Its totient is φ = 119144448.

The previous prime is 257016061. The next prime is 257016077. The reversal of 257016064 is 460610752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 129777664 + 127238400 = 11392^2 + 11280^2 .

It is a super-3 number, since 3×257016064³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (257016061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317292 + ... + 318100.

It is an arithmetic number, because the mean of its divisors is an integer number (7657335).

Almost surely, 2^257016064 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 257016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275664060).

257016064 is an abundant number, since it is smaller than the sum of its proper divisors (294312056).

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

257016064 is an equidigital number, since it uses as much as digits as its factorization.

257016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 257016064 is about 16031.7205564468. The cubic root of 257016064 is about 635.7993644785.

The spelling of 257016064 in words is "two hundred fifty-seven million, sixteen thousand, sixty-four".