260220480 has 224 divisors, whose sum is σ = 921715200. Its totient is φ = 61759488.

The previous prime is 260220461. The next prime is 260220491. The reversal of 260220480 is 84022062.

It is a super-2 number, since 2×260220480² = 135429396422860800, which contains 22 as substring.

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 260220480.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 361561 + ... + 362279.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^260220480 is an apocalyptic number.

260220480 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 260220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460857600).

260220480 is an abundant number, since it is smaller than the sum of its proper divisors (661494720).

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

260220480 is a wasteful number, since it uses less digits than its factorization.

260220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 260220480 is about 16131.3508423814. The cubic root of 260220480 is about 638.4307910350.

The spelling of 260220480 in words is "two hundred sixty million, two hundred twenty thousand, four hundred eighty".