257421888 has 280 divisors, whose sum is σ = 849733632. Its totient is φ = 76640256.

The previous prime is 257421887. The next prime is 257421919. The reversal of 257421888 is 888124752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (257421887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2026881 + ... + 2027007.

Almost surely, 2^257421888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257421888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424866816).

257421888 is an abundant number, since it is smaller than the sum of its proper divisors (592311744).

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

257421888 is a wasteful number, since it uses less digits than its factorization.

257421888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 257421888 is about 16044.3724713683. The cubic root of 257421888 is about 636.1338273026.

The spelling of 257421888 in words is "two hundred fifty-seven million, four hundred twenty-one thousand, eight hundred eighty-eight".