260245440 has 448 divisors, whose sum is σ = 1133368320. Its totient is φ = 54743040.

The previous prime is 260245411. The next prime is 260245463. The reversal of 260245440 is 44542062.

260245440 is a `hidden beast` number, since 2 + 602 + 4 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 260245440 = 82³ + 638³ = 144³ + 636³.

It is a zygodrome in base 2.

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, 786075 + ... + 786405.

It is an arithmetic number, because the mean of its divisors is an integer number (2529840).

Almost surely, 2^260245440 is an apocalyptic number.

260245440 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 260245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566684160).

260245440 is an abundant number, since it is smaller than the sum of its proper divisors (873122880).

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

260245440 is a wasteful number, since it uses less digits than its factorization.

260245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 260245440 is about 16132.1244726167. The cubic root of 260245440 is about 638.4512028579.

The spelling of 260245440 in words is "two hundred sixty million, two hundred forty-five thousand, four hundred forty".