260314440 has 256 divisors, whose sum is σ = 884736000. Its totient is φ = 60963840.

The previous prime is 260314427. The next prime is 260314441. The reversal of 260314440 is 44413062.

260314440 = T₁₄₅ + T₁₄₆ + ... + T₁₁₆₀.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 260314440.

It is not an unprimeable number, because it can be changed into a prime (260314441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2049657 + ... + 2049783.

It is an arithmetic number, because the mean of its divisors is an integer number (3456000).

Almost surely, 2^260314440 is an apocalyptic number.

260314440 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 260314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442368000).

260314440 is an abundant number, since it is smaller than the sum of its proper divisors (624421560).

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

260314440 is a wasteful number, since it uses less digits than its factorization.

260314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 260314440 is about 16134.2629208774. The cubic root of 260314440 is about 638.5076229823.

The spelling of 260314440 in words is "two hundred sixty million, three hundred fourteen thousand, four hundred forty".