260453760 has 128 divisors (see below), whose sum is σ = 948844800. Its totient is φ = 59529216.

The previous prime is 260453741. The next prime is 260453867. The reversal of 260453760 is 67354062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×260453760² = 135672322196275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3751 + ... + 23129.

It is an arithmetic number, because the mean of its divisors is an integer number (7412850).

Almost surely, 2^260453760 is an apocalyptic number.

260453760 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 260453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474422400).

260453760 is an abundant number, since it is smaller than the sum of its proper divisors (688391040).

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

260453760 is a wasteful number, since it uses less digits than its factorization.

260453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19408 (or 19396 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 260453760 is about 16138.5798631726. The cubic root of 260453760 is about 638.6215121911.

The spelling of 260453760 in words is "two hundred sixty million, four hundred fifty-three thousand, seven hundred sixty".