257611540 has 48 divisors (see below), whose sum is σ = 582243984. Its totient is φ = 95385600.

The previous prime is 257611531. The next prime is 257611547. The reversal of 257611540 is 45116752.

It can be written as a sum of positive squares in 8 ways, for example, as 1547536 + 256064004 = 1244^2 + 16002^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257611547) 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, 14530 + ... + 26950.

It is an arithmetic number, because the mean of its divisors is an integer number (12130083).

Almost surely, 2^257611540 is an apocalyptic number.

257611540 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 257611540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291121992).

257611540 is an abundant number, since it is smaller than the sum of its proper divisors (324632444).

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

257611540 is a wasteful number, since it uses less digits than its factorization.

257611540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12508 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 257611540 is about 16050.2816174670. The cubic root of 257611540 is about 636.2900098739.

The spelling of 257611540 in words is "two hundred fifty-seven million, six hundred eleven thousand, five hundred forty".