257305704 has 64 divisors (see below), whose sum is σ = 673505280. Its totient is φ = 81816000.

The previous prime is 257305703. The next prime is 257305721. The reversal of 257305704 is 407503752.

257305704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257305703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50389 + ... + 55259.

It is an arithmetic number, because the mean of its divisors is an integer number (10523520).

Almost surely, 2^257305704 is an apocalyptic number.

257305704 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 257305704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336752640).

257305704 is an abundant number, since it is smaller than the sum of its proper divisors (416199576).

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

257305704 is a wasteful number, since it uses less digits than its factorization.

257305704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 257305704 is about 16040.7513539734. The cubic root of 257305704 is about 636.0381093418.

The spelling of 257305704 in words is "two hundred fifty-seven million, three hundred five thousand, seven hundred four".