260359466400 has 720 divisors, whose sum is σ = 1080899443008. Its totient is φ = 60369408000.

The previous prime is 260359466383. The next prime is 260359466401. The reversal of 260359466400 is 4664953062.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (260359466401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16386460 + ... + 16402340.

Almost surely, 2^260359466400 is an apocalyptic number.

260359466400 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 260359466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540449721504).

260359466400 is an abundant number, since it is smaller than the sum of its proper divisors (820539976608).

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

260359466400 is a wasteful number, since it uses less digits than its factorization.

260359466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15947 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 260359466400 in words is "two hundred sixty billion, three hundred fifty-nine million, four hundred sixty-six thousand, four hundred".