257115740 has 144 divisors (see below), whose sum is σ = 663616800. Its totient is φ = 83317248.

The previous prime is 257115739. The next prime is 257115743. The reversal of 257115740 is 47511752.

It is a super-2 number, since 2×257115740² = 132217007511495200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257115697 and 257115706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257115743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2358806 + ... + 2358914.

It is an arithmetic number, because the mean of its divisors is an integer number (4608450).

Almost surely, 2^257115740 is an apocalyptic number.

257115740 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 257115740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331808400).

257115740 is an abundant number, since it is smaller than the sum of its proper divisors (406501060).

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

257115740 is a wasteful number, since it uses less digits than its factorization.

257115740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 257115740 is about 16034.8289669706. The cubic root of 257115740 is about 635.8815457835.

The spelling of 257115740 in words is "two hundred fifty-seven million, one hundred fifteen thousand, seven hundred forty".