257601740 has 48 divisors (see below), whose sum is σ = 595080864. Its totient is φ = 93663680.

The previous prime is 257601739. The next prime is 257601749. The reversal of 257601740 is 47106752.

It is a junction number, because it is equal to n+sod(n) for n = 257601697 and 257601706.

It is not an unprimeable number, because it can be changed into a prime (257601749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21782 + ... + 31458.

It is an arithmetic number, because the mean of its divisors is an integer number (12397518).

Almost surely, 2^257601740 is an apocalyptic number.

257601740 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 257601740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297540432).

257601740 is an abundant number, since it is smaller than the sum of its proper divisors (337479124).

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

257601740 is a wasteful number, since it uses less digits than its factorization.

257601740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 257601740 is about 16049.9763239701. The cubic root of 257601740 is about 636.2819412380.

The spelling of 257601740 in words is "two hundred fifty-seven million, six hundred one thousand, seven hundred forty".