259104820 has 144 divisors (see below), whose sum is σ = 651614544. Its totient is φ = 85708800.

The previous prime is 259104739. The next prime is 259104847. The reversal of 259104820 is 28401952.

It can be written as a sum of positive squares in 8 ways, for example, as 43191184 + 215913636 = 6572^2 + 14694^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4247590 + ... + 4247650.

It is an arithmetic number, because the mean of its divisors is an integer number (4525101).

Almost surely, 2^259104820 is an apocalyptic number.

259104820 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 259104820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325807272).

259104820 is an abundant number, since it is smaller than the sum of its proper divisors (392509724).

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

259104820 is a wasteful number, since it uses less digits than its factorization.

259104820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 259104820 is about 16096.7332089465. The cubic root of 259104820 is about 637.5170888665.

The spelling of 259104820 in words is "two hundred fifty-nine million, one hundred four thousand, eight hundred twenty".