259284480 has 480 divisors, whose sum is σ = 1057994784. Its totient is φ = 53673984.

The previous prime is 259284457. The next prime is 259284481. The reversal of 259284480 is 84482952.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259284481) 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 47 ways as a sum of consecutive naturals, for example, 4892134 + ... + 4892186.

Almost surely, 2^259284480 is an apocalyptic number.

259284480 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 259284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528997392).

259284480 is an abundant number, since it is smaller than the sum of its proper divisors (798710304).

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

259284480 is a wasteful number, since it uses less digits than its factorization.

259284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 259284480 is about 16102.3128773478. The cubic root of 259284480 is about 637.6644035810.

The spelling of 259284480 in words is "two hundred fifty-nine million, two hundred eighty-four thousand, four hundred eighty".