257056800 has 576 divisors, whose sum is σ = 1133927424. Its totient is φ = 48844800.

The previous prime is 257056769. The next prime is 257056801. The reversal of 257056800 is 8650752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (257056801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2402347 + ... + 2402453.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2^257056800 is an apocalyptic number.

257056800 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 257056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566963712).

257056800 is an abundant number, since it is smaller than the sum of its proper divisors (876870624).

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

257056800 is a wasteful number, since it uses less digits than its factorization.

257056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 257056800 is about 16032.9909873361. The cubic root of 257056800 is about 635.8329532411.

The spelling of 257056800 in words is "two hundred fifty-seven million, fifty-six thousand, eight hundred".