260438400 has 144 divisors (see below), whose sum is σ = 929406660. Its totient is φ = 69442560.

The previous prime is 260438389. The next prime is 260438411. The reversal of 260438400 is 4834062.

260438400 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 (260438389) and next prime (260438411).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24279 + ... + 33321.

Almost surely, 2^260438400 is an apocalyptic number.

260438400 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 260438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464703330).

260438400 is an abundant number, since it is smaller than the sum of its proper divisors (668968260).

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

260438400 is a wasteful number, since it uses less digits than its factorization.

260438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9073 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 260438400 is about 16138.1039778532. The cubic root of 260438400 is about 638.6089579227.

It can be divided in two parts, 26043 and 8400, that added together give a palindrome (34443).

The spelling of 260438400 in words is "two hundred sixty million, four hundred thirty-eight thousand, four hundred".