259952490 has 240 divisors, whose sum is σ = 849733632. Its totient is φ = 55847232.

The previous prime is 259952467. The next prime is 259952519. The reversal of 259952490 is 94259952.

259952490 is a `hidden beast` number, since 2 + 599 + 52 + 4 + 9 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2046807 + ... + 2046933.

Almost surely, 2^259952490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259952490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424866816).

259952490 is an abundant number, since it is smaller than the sum of its proper divisors (589781142).

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

259952490 is a wasteful number, since it uses less digits than its factorization.

259952490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 259952490 is about 16123.0422067301. The cubic root of 259952490 is about 638.2115515205.

The spelling of 259952490 in words is "two hundred fifty-nine million, nine hundred fifty-two thousand, four hundred ninety".