257261424 has 40 divisors (see below), whose sum is σ = 759534720. Its totient is φ = 73503168.

The previous prime is 257261423. The next prime is 257261449. The reversal of 257261424 is 424162752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257261423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382494 + ... + 383165.

It is an arithmetic number, because the mean of its divisors is an integer number (18988368).

Almost surely, 2^257261424 is an apocalyptic number.

257261424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257261424 is an abundant number, since it is smaller than the sum of its proper divisors (502273296).

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

257261424 is a wasteful number, since it uses less digits than its factorization.

257261424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765677 (or 765671 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 257261424 is about 16039.3710599886. The cubic root of 257261424 is about 636.0016217672.

The spelling of 257261424 in words is "two hundred fifty-seven million, two hundred sixty-one thousand, four hundred twenty-four".