257742210 has 64 divisors (see below), whose sum is σ = 679860864. Its totient is φ = 62016000.

The previous prime is 257742187. The next prime is 257742211. The reversal of 257742210 is 12247752.

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 (257742211) 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, 42360 + ... + 48060.

It is an arithmetic number, because the mean of its divisors is an integer number (10622826).

Almost surely, 2^257742210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257742210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339930432).

257742210 is an abundant number, since it is smaller than the sum of its proper divisors (422118654).

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

257742210 is a wasteful number, since it uses less digits than its factorization.

257742210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859.

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

The square root of 257742210 is about 16054.3517464892. The cubic root of 257742210 is about 636.3975748814.

Adding to 257742210 its reverse (12247752), we get a palindrome (269989962).

The spelling of 257742210 in words is "two hundred fifty-seven million, seven hundred forty-two thousand, two hundred ten".