257270000 has 100 divisors (see below), whose sum is σ = 671128920. Its totient is φ = 94944000.

The previous prime is 257269951. The next prime is 257270009. The reversal of 257270000 is 72752.

257270000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257270009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129011 + ... + 130989.

Almost surely, 2^257270000 is an apocalyptic number.

257270000 is a gapful number since it is divisible by the number (20) 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 257270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335564460).

257270000 is an abundant number, since it is smaller than the sum of its proper divisors (413858920).

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

257270000 is a wasteful number, since it uses less digits than its factorization.

257270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 257270000 is about 16039.6383999141. The cubic root of 257270000 is about 636.0086888836.

The spelling of 257270000 in words is "two hundred fifty-seven million, two hundred seventy thousand".