259782480 has 240 divisors, whose sum is σ = 917369856. Its totient is φ = 65802240.

The previous prime is 259782473. The next prime is 259782499. The reversal of 259782480 is 84287952.

259782480 is a `hidden beast` number, since 2 + 5 + 97 + 82 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2298904 + ... + 2299016.

Almost surely, 2^259782480 is an apocalyptic number.

259782480 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 259782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458684928).

259782480 is an abundant number, since it is smaller than the sum of its proper divisors (657587376).

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

259782480 is a wasteful number, since it uses less digits than its factorization.

259782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 259782480 is about 16117.7690763952. The cubic root of 259782480 is about 638.0723901835.

The spelling of 259782480 in words is "two hundred fifty-nine million, seven hundred eighty-two thousand, four hundred eighty".