257741220 has 96 divisors (see below), whose sum is σ = 821560320. Its totient is φ = 59762560.

The previous prime is 257741219. The next prime is 257741227. The reversal of 257741220 is 22147752.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (257741227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6691 + ... + 23669.

It is an arithmetic number, because the mean of its divisors is an integer number (8557920).

Almost surely, 2^257741220 is an apocalyptic number.

257741220 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 257741220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410780160).

257741220 is an abundant number, since it is smaller than the sum of its proper divisors (563819100).

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

257741220 is a wasteful number, since it uses less digits than its factorization.

257741220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17025 (or 17023 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 257741220 is about 16054.3209136980. The cubic root of 257741220 is about 636.3967600693.

Adding to 257741220 its reverse (22147752), we get a palindrome (279888972).

The spelling of 257741220 in words is "two hundred fifty-seven million, seven hundred forty-one thousand, two hundred twenty".