257799120 has 80 divisors (see below), whose sum is σ = 809352960. Its totient is φ = 67871232.

The previous prime is 257799119. The next prime is 257799121. The reversal of 257799120 is 21997752.

It is an interprime number because it is at equal distance from previous prime (257799119) and next prime (257799121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257799121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12162 + ... + 25758.

It is an arithmetic number, because the mean of its divisors is an integer number (10116912).

Almost surely, 2^257799120 is an apocalyptic number.

257799120 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 257799120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404676480).

257799120 is an abundant number, since it is smaller than the sum of its proper divisors (551553840).

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

257799120 is a wasteful number, since it uses less digits than its factorization.

257799120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13692 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 257799120 is about 16056.1240652905. The cubic root of 257799120 is about 636.4444107239. Note that the first 4 decimals are identical.

The spelling of 257799120 in words is "two hundred fifty-seven million, seven hundred ninety-nine thousand, one hundred twenty".