257742000 has 400 divisors, whose sum is σ = 978380832. Its totient is φ = 65318400.

The previous prime is 257741989. The next prime is 257742007. The reversal of 257742000 is 247752.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (257742007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5993979 + ... + 5994021.

Almost surely, 2^257742000 is an apocalyptic number.

257742000 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 257742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489190416).

257742000 is an abundant number, since it is smaller than the sum of its proper divisors (720638832).

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

257742000 is a wasteful number, since it uses less digits than its factorization.

257742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 257742000 is about 16054.3452062051. The cubic root of 257742000 is about 636.3974020426.

Adding to 257742000 its reverse (247752), we get a palindrome (257989752).

The spelling of 257742000 in words is "two hundred fifty-seven million, seven hundred forty-two thousand".