260464512 has 256 divisors, whose sum is σ = 902430720. Its totient is φ = 64542720.

The previous prime is 260464507. The next prime is 260464517. The reversal of 260464512 is 215464062.

260464512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260464507) and next prime (260464517).

It is a super-2 number, since 2×260464512² = 135683524022796288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 260464512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260464517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679873 + ... + 680255.

It is an arithmetic number, because the mean of its divisors is an integer number (3525120).

Almost surely, 2^260464512 is an apocalyptic number.

260464512 is a gapful number since it is divisible by the number (22) 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 260464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451215360).

260464512 is an abundant number, since it is smaller than the sum of its proper divisors (641966208).

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

260464512 is a wasteful number, since it uses less digits than its factorization.

260464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 260464512 is about 16138.9129745470. The cubic root of 260464512 is about 638.6302998854.

The spelling of 260464512 in words is "two hundred sixty million, four hundred sixty-four thousand, five hundred twelve".