259403040 has 384 divisors, whose sum is σ = 1016064000. Its totient is φ = 61378560.

The previous prime is 259403033. The next prime is 259403059. The reversal of 259403040 is 40304952.

259403040 is a `hidden beast` number, since 2 + 594 + 0 + 30 + 40 = 666.

259403040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×259403040² = 134579874322483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 259402995 and 259403013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1740886 + ... + 1741034.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^259403040 is an apocalyptic number.

259403040 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 259403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

259403040 is an abundant number, since it is smaller than the sum of its proper divisors (756660960).

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

259403040 is a wasteful number, since it uses less digits than its factorization.

259403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 259403040 is about 16105.9939153099. The cubic root of 259403040 is about 637.7615812337.

Adding to 259403040 its reverse (40304952), we get a palindrome (299707992).

The spelling of 259403040 in words is "two hundred fifty-nine million, four hundred three thousand, forty".