260457338400 has 576 divisors, whose sum is σ = 984126511872. Its totient is φ = 58604912640.

The previous prime is 260457338377. The next prime is 260457338417. The reversal of 260457338400 is 4833754062.

It is a super-2 number, since 2×260457338400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451398912 + ... + 451399488.

It is an arithmetic number, because the mean of its divisors is an integer number (1708552972).

Almost surely, 2^260457338400 is an apocalyptic number.

260457338400 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 260457338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492063255936).

260457338400 is an abundant number, since it is smaller than the sum of its proper divisors (723669173472).

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

260457338400 is a wasteful number, since it uses less digits than its factorization.

260457338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 260457338400 in words is "two hundred sixty billion, four hundred fifty-seven million, three hundred thirty-eight thousand, four hundred".