260576420 has 48 divisors (see below), whose sum is σ = 597419760. Its totient is φ = 94887936.

The previous prime is 260576417. The next prime is 260576471. The reversal of 260576420 is 24675062.

It can be written as a sum of positive squares in 8 ways, for example, as 22676644 + 237899776 = 4762^2 + 15424^2 .

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 15 ways as a sum of consecutive naturals, for example, 12116 + ... + 25844.

It is an arithmetic number, because the mean of its divisors is an integer number (12446245).

Almost surely, 2^260576420 is an apocalyptic number.

260576420 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 260576420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298709880).

260576420 is an abundant number, since it is smaller than the sum of its proper divisors (336843340).

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

260576420 is a wasteful number, since it uses less digits than its factorization.

260576420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13824 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 260576420 is about 16142.3796263128. The cubic root of 260576420 is about 638.7217488204.

The spelling of 260576420 in words is "two hundred sixty million, five hundred seventy-six thousand, four hundred twenty".