259420160 has 104 divisors (see below), whose sum is σ = 636932160. Its totient is φ = 101384192.

The previous prime is 259420123. The next prime is 259420171. The reversal of 259420160 is 61024952.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085321 + ... + 1085559.

Almost surely, 2^259420160 is an apocalyptic number.

259420160 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 259420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318466080).

259420160 is an abundant number, since it is smaller than the sum of its proper divisors (377512000).

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

259420160 is an equidigital number, since it uses as much as digits as its factorization.

259420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 259420160 is about 16106.5253856938. The cubic root of 259420160 is about 637.7756111876.

The spelling of 259420160 in words is "two hundred fifty-nine million, four hundred twenty thousand, one hundred sixty".