257493750 has 96 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 66300000.

The previous prime is 257493739. The next prime is 257493839. The reversal of 257493750 is 57394752.

257493750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581029 + ... + 581471.

It is an arithmetic number, because the mean of its divisors is an integer number (6937056).

Almost surely, 2^257493750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257493750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

257493750 is an abundant number, since it is smaller than the sum of its proper divisors (408463626).

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

257493750 is an equidigital number, since it uses as much as digits as its factorization.

257493750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 257493750 is about 16046.6117919017. The cubic root of 257493750 is about 636.1930162554.

The spelling of 257493750 in words is "two hundred fifty-seven million, four hundred ninety-three thousand, seven hundred fifty".