257561424 has 120 divisors (see below), whose sum is σ = 785723520. Its totient is φ = 80764416.

The previous prime is 257561377. The next prime is 257561449. The reversal of 257561424 is 424165752.

It is a happy number.

257561424 is a `hidden beast` number, since 2 + 57 + 561 + 42 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 123817 + ... + 125879.

It is an arithmetic number, because the mean of its divisors is an integer number (6547696).

Almost surely, 2^257561424 is an apocalyptic number.

257561424 is a gapful number since it is divisible by the number (24) 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 257561424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392861760).

257561424 is an abundant number, since it is smaller than the sum of its proper divisors (528162096).

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

257561424 is a wasteful number, since it uses less digits than its factorization.

257561424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2085 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 257561424 is about 16048.7203228170. The cubic root of 257561424 is about 636.2487457051.

The spelling of 257561424 in words is "two hundred fifty-seven million, five hundred sixty-one thousand, four hundred twenty-four".