257420709 has 48 divisors (see below), whose sum is σ = 459793152. Its totient is φ = 135143424.

The previous prime is 257420701. The next prime is 257420731. The reversal of 257420709 is 907024752.

It is not a de Polignac number, because 257420709 - 2³ = 257420701 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257420701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209872 + ... + 211094.

It is an arithmetic number, because the mean of its divisors is an integer number (9579024).

Almost surely, 2^257420709 is an apocalyptic number.

It is an amenable number.

257420709 is a deficient number, since it is larger than the sum of its proper divisors (202372443).

257420709 is a wasteful number, since it uses less digits than its factorization.

257420709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 257420709 is about 16044.3357294716. The cubic root of 257420709 is about 636.1328561304.

The spelling of 257420709 in words is "two hundred fifty-seven million, four hundred twenty thousand, seven hundred nine".