257161200 has 120 divisors (see below), whose sum is σ = 867206400. Its totient is φ = 64961280.

The previous prime is 257161187. The next prime is 257161217. The reversal of 257161200 is 2161752.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×257161200² = 132263765570880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17161 + ... + 28439.

It is an arithmetic number, because the mean of its divisors is an integer number (7226720).

Almost surely, 2^257161200 is an apocalyptic number.

257161200 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 257161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433603200).

257161200 is an abundant number, since it is smaller than the sum of its proper divisors (610045200).

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

257161200 is a wasteful number, since it uses less digits than its factorization.

257161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319 (or 11308 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 257161200 is about 16036.2464436039. The cubic root of 257161200 is about 635.9190197911.

The spelling of 257161200 in words is "two hundred fifty-seven million, one hundred sixty-one thousand, two hundred".