257424480 has 168 divisors, whose sum is σ = 912244032. Its totient is φ = 68615424.

The previous prime is 257424473. The next prime is 257424481. The reversal of 257424480 is 84424752.

257424480 is a `hidden beast` number, since 2 + 574 + 2 + 4 + 4 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257424481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 115537 + ... + 117743.

It is an arithmetic number, because the mean of its divisors is an integer number (5430024).

Almost surely, 2^257424480 is an apocalyptic number.

257424480 is a gapful number since it is divisible by the number (20) 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 257424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456122016).

257424480 is an abundant number, since it is smaller than the sum of its proper divisors (654819552).

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

257424480 is an equidigital number, since it uses as much as digits as its factorization.

257424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 257424480 is about 16044.4532471506. The cubic root of 257424480 is about 636.1359623883.

The spelling of 257424480 in words is "two hundred fifty-seven million, four hundred twenty-four thousand, four hundred eighty".