259653438 has 40 divisors (see below), whose sum is σ = 634712760. Its totient is φ = 78682320.

The previous prime is 259653419. The next prime is 259653439. The reversal of 259653438 is 834356952.

259653438 is a `hidden beast` number, since 2 + 596 + 53 + 4 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 259653393 and 259653402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259653439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71073 + ... + 74636.

It is an arithmetic number, because the mean of its divisors is an integer number (15867819).

Almost surely, 2^259653438 is an apocalyptic number.

259653438 is an abundant number, since it is smaller than the sum of its proper divisors (375059322).

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

259653438 is a wasteful number, since it uses less digits than its factorization.

259653438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145734 (or 145725 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 259653438 is about 16113.7654817240. The cubic root of 259653438 is about 637.9667225824.

It can be divided in two parts, 25965 and 3438, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 259653438 in words is "two hundred fifty-nine million, six hundred fifty-three thousand, four hundred thirty-eight".