257054000 has 240 divisors, whose sum is σ = 751978656. Its totient is φ = 84672000.

The previous prime is 257053967. The next prime is 257054027. The reversal of 257054000 is 450752.

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 47 ways as a sum of consecutive naturals, for example, 4213970 + ... + 4214030.

Almost surely, 2^257054000 is an apocalyptic number.

257054000 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 257054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375989328).

257054000 is an abundant number, since it is smaller than the sum of its proper divisors (494924656).

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

257054000 is a wasteful number, since it uses less digits than its factorization.

257054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 257054000 is about 16032.9036671465. The cubic root of 257054000 is about 635.8306446220.

The spelling of 257054000 in words is "two hundred fifty-seven million, fifty-four thousand".