257992000 has 224 divisors, whose sum is σ = 775996416. Its totient is φ = 82944000.

The previous prime is 257991973. The next prime is 257992027. The reversal of 257992000 is 299752.

It is an interprime number because it is at equal distance from previous prime (257991973) and next prime (257992027).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951865 + ... + 952135.

Almost surely, 2^257992000 is an apocalyptic number.

257992000 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 257992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387998208).

257992000 is an abundant number, since it is smaller than the sum of its proper divisors (518004416).

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

257992000 is a wasteful number, since it uses less digits than its factorization.

257992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 257992000 is about 16062.1293731560. The cubic root of 257992000 is about 636.6030960287.

The spelling of 257992000 in words is "two hundred fifty-seven million, nine hundred ninety-two thousand".