260461320 has 128 divisors (see below), whose sum is σ = 913904640. Its totient is φ = 58141440.

The previous prime is 260461297. The next prime is 260461337. The reversal of 260461320 is 23164062.

It is a super-2 number, since 2×260461320² = 135680198432284800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32515 + ... + 39725.

It is an arithmetic number, because the mean of its divisors is an integer number (7139880).

Almost surely, 2^260461320 is an apocalyptic number.

260461320 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 260461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456952320).

260461320 is an abundant number, since it is smaller than the sum of its proper divisors (653443320).

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

260461320 is a wasteful number, since it uses less digits than its factorization.

260461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 260461320 is about 16138.8140828253. The cubic root of 260461320 is about 638.6276910639.

The spelling of 260461320 in words is "two hundred sixty million, four hundred sixty-one thousand, three hundred twenty".