259583940 has 240 divisors, whose sum is σ = 1015749504. Its totient is φ = 53913600.

The previous prime is 259583927. The next prime is 259583977. The reversal of 259583940 is 49385952.

259583940 is a `hidden beast` number, since 25 + 9 + 583 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123700 + ... + 125780.

Almost surely, 2^259583940 is an apocalyptic number.

259583940 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 259583940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507874752).

259583940 is an abundant number, since it is smaller than the sum of its proper divisors (756165564).

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

259583940 is a wasteful number, since it uses less digits than its factorization.

259583940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 259583940 is about 16111.6088582115. The cubic root of 259583940 is about 637.9097987998.

The spelling of 259583940 in words is "two hundred fifty-nine million, five hundred eighty-three thousand, nine hundred forty".