259404020 has 48 divisors (see below), whose sum is σ = 581106960. Its totient is φ = 96927744.

The previous prime is 259404011. The next prime is 259404029. The reversal of 259404020 is 20404952.

It is an interprime number because it is at equal distance from previous prime (259404011) and next prime (259404029).

It can be written as a sum of positive squares in 8 ways, for example, as 708964 + 258695056 = 842^2 + 16084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259404029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43796 + ... + 49364.

It is an arithmetic number, because the mean of its divisors is an integer number (12106395).

Almost surely, 2^259404020 is an apocalyptic number.

259404020 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 259404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290553480).

259404020 is an abundant number, since it is smaller than the sum of its proper divisors (321702940).

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

259404020 is a wasteful number, since it uses less digits than its factorization.

259404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 259404020 is about 16106.0243387374. The cubic root of 259404020 is about 637.7623843669.

Adding to 259404020 its reverse (20404952), we get a palindrome (279808972).

The spelling of 259404020 in words is "two hundred fifty-nine million, four hundred four thousand, twenty".