257034708 has 144 divisors (see below), whose sum is σ = 791633024. Its totient is φ = 71383680.

The previous prime is 257034703. The next prime is 257034719. The reversal of 257034708 is 807430752.

It is a super-2 number, since 2×257034708² = 132133682233290528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257034703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251238 + ... + 252258.

Almost surely, 2^257034708 is an apocalyptic number.

257034708 is a gapful number since it is divisible by the number (28) 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 257034708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395816512).

257034708 is an abundant number, since it is smaller than the sum of its proper divisors (534598316).

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

257034708 is a wasteful number, since it uses less digits than its factorization.

257034708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 257034708 is about 16032.3020181133. The cubic root of 257034708 is about 635.8147377805.

The spelling of 257034708 in words is "two hundred fifty-seven million, thirty-four thousand, seven hundred eight".