257040000 has 640 divisors, whose sum is σ = 1147132800. Its totient is φ = 55296000.

The previous prime is 257039971. The next prime is 257040013. The reversal of 257040000 is 40752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15119992 + ... + 15120008.

It is an arithmetic number, because the mean of its divisors is an integer number (1792395).

Almost surely, 2^257040000 is an apocalyptic number.

257040000 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 257040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573566400).

257040000 is an abundant number, since it is smaller than the sum of its proper divisors (890092800).

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

257040000 is an equidigital number, since it uses as much as digits as its factorization.

257040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 257040000 is about 16032.4670590649. The cubic root of 257040000 is about 635.8191012749.

Adding to 257040000 its reverse (40752), we get a palindrome (257080752).

The spelling of 257040000 in words is "two hundred fifty-seven million, forty thousand".