257300064 has 288 divisors, whose sum is σ = 902603520. Its totient is φ = 70543872.

The previous prime is 257300039. The next prime is 257300177. The reversal of 257300064 is 460003752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1578447 + ... + 1578609.

It is an arithmetic number, because the mean of its divisors is an integer number (3134040).

Almost surely, 2^257300064 is an apocalyptic number.

257300064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257300064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451301760).

257300064 is an abundant number, since it is smaller than the sum of its proper divisors (645303456).

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

257300064 is a wasteful number, since it uses less digits than its factorization.

257300064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 257300064 is about 16040.5755507712. The cubic root of 257300064 is about 636.0334621056.

The spelling of 257300064 in words is "two hundred fifty-seven million, three hundred thousand, sixty-four".