257325600 has 432 divisors, whose sum is σ = 1036058688. Its totient is φ = 54312960.

The previous prime is 257325571. The next prime is 257325659. The reversal of 257325600 is 6523752.

257325600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4855174 + ... + 4855226.

It is an arithmetic number, because the mean of its divisors is an integer number (2398284).

Almost surely, 2^257325600 is an apocalyptic number.

257325600 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 257325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518029344).

257325600 is an abundant number, since it is smaller than the sum of its proper divisors (778733088).

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

257325600 is a wasteful number, since it uses less digits than its factorization.

257325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 257325600 is about 16041.3715124362. The cubic root of 257325600 is about 636.0545026667.

The spelling of 257325600 in words is "two hundred fifty-seven million, three hundred twenty-five thousand, six hundred".