257868040 has 32 divisors (see below), whose sum is σ = 583692480. Its totient is φ = 102526912.

The previous prime is 257868011. The next prime is 257868043. The reversal of 257868040 is 40868752.

257868040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 257867984 and 257868002.

It is not an unprimeable number, because it can be changed into a prime (257868043) 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 7 ways as a sum of consecutive naturals, for example, 12622 + ... + 25981.

It is an arithmetic number, because the mean of its divisors is an integer number (18240390).

Almost surely, 2^257868040 is an apocalyptic number.

257868040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257868040 is an abundant number, since it is smaller than the sum of its proper divisors (325824440).

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

257868040 is a wasteful number, since it uses less digits than its factorization.

257868040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38781 (or 38777 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 257868040 is about 16058.2701434494. The cubic root of 257868040 is about 636.5011213397.

The spelling of 257868040 in words is "two hundred fifty-seven million, eight hundred sixty-eight thousand, forty".