257493852 has 144 divisors (see below), whose sum is σ = 854380800. Its totient is φ = 63348480.

The previous prime is 257493839. The next prime is 257493857. The reversal of 257493852 is 258394752.

It is a junction number, because it is equal to n+sod(n) for n = 257493798 and 257493807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257493857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50224 + ... + 55112.

It is an arithmetic number, because the mean of its divisors is an integer number (5933200).

Almost surely, 2^257493852 is an apocalyptic number.

257493852 is a gapful number since it is divisible by the number (22) 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 257493852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427190400).

257493852 is an abundant number, since it is smaller than the sum of its proper divisors (596886948).

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

257493852 is a wasteful number, since it uses less digits than its factorization.

257493852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4931 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 257493852 is about 16046.6149701425. The cubic root of 257493852 is about 636.1931002596.

The spelling of 257493852 in words is "two hundred fifty-seven million, four hundred ninety-three thousand, eight hundred fifty-two".