259020424 has 64 divisors (see below), whose sum is σ = 544299840. Its totient is φ = 114773760.

The previous prime is 259020413. The next prime is 259020427. The reversal of 259020424 is 424020952.

It is a junction number, because it is equal to n+sod(n) for n = 259020392 and 259020401.

It is not an unprimeable number, because it can be changed into a prime (259020427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 318979 + ... + 319789.

It is an arithmetic number, because the mean of its divisors is an integer number (8504685).

Almost surely, 2^259020424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259020424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272149920).

259020424 is an abundant number, since it is smaller than the sum of its proper divisors (285279416).

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

259020424 is a wasteful number, since it uses less digits than its factorization.

259020424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 259020424 is about 16094.1114697271. Note that the first 3 decimals coincide. The cubic root of 259020424 is about 637.4478636845.

The spelling of 259020424 in words is "two hundred fifty-nine million, twenty thousand, four hundred twenty-four".