260458821 has 48 divisors (see below), whose sum is σ = 469414400. Its totient is φ = 140982768.

The previous prime is 260458789. The next prime is 260458867. The reversal of 260458821 is 128854062.

It is not a de Polignac number, because 260458821 - 2⁵ = 260458789 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260458021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28290 + ... + 36348.

Almost surely, 2^260458821 is an apocalyptic number.

260458821 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

260458821 is a deficient number, since it is larger than the sum of its proper divisors (208955579).

260458821 is an equidigital number, since it uses as much as digits as its factorization.

260458821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 260458821 is about 16138.7366605940. The cubic root of 260458821 is about 638.6256486164.

It can be divided in two parts, 2604 and 58821, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 260458821 in words is "two hundred sixty million, four hundred fifty-eight thousand, eight hundred twenty-one".