257838340 has 48 divisors (see below), whose sum is σ = 561057840. Its totient is φ = 99461120.

The previous prime is 257838331. The next prime is 257838359. The reversal of 257838340 is 43838752.

257838340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29767936 + 228070404 = 5456^2 + 15102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257838293 and 257838302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71214 + ... + 74746.

It is an arithmetic number, because the mean of its divisors is an integer number (11688705).

Almost surely, 2^257838340 is an apocalyptic number.

257838340 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 257838340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280528920).

257838340 is an abundant number, since it is smaller than the sum of its proper divisors (303219500).

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

257838340 is a wasteful number, since it uses less digits than its factorization.

257838340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 257838340 is about 16057.3453596789. The cubic root of 257838340 is about 636.4766840227.

The spelling of 257838340 in words is "two hundred fifty-seven million, eight hundred thirty-eight thousand, three hundred forty".