257384130 has 64 divisors (see below), whose sum is σ = 630281088. Its totient is φ = 67253760.

The previous prime is 257384129. The next prime is 257384189. The reversal of 257384130 is 31483752.

It is a junction number, because it is equal to n+sod(n) for n = 257384091 and 257384100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461812 + ... + 462368.

It is an arithmetic number, because the mean of its divisors is an integer number (9848142).

Almost surely, 2^257384130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257384130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315140544).

257384130 is an abundant number, since it is smaller than the sum of its proper divisors (372896958).

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

257384130 is a wasteful number, since it uses less digits than its factorization.

257384130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 257384130 is about 16043.1957539637. The cubic root of 257384130 is about 636.1027236078.

The spelling of 257384130 in words is "two hundred fifty-seven million, three hundred eighty-four thousand, one hundred thirty".