26438400 has 324 divisors, whose sum is σ = 103790232. Its totient is φ = 6635520.

The previous prime is 26438369. The next prime is 26438407. The reversal of 26438400 is 483462.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26438407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1555192 + ... + 1555208.

Almost surely, 2^26438400 is an apocalyptic number.

26438400 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 26438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51895116).

26438400 is an abundant number, since it is smaller than the sum of its proper divisors (77351832).

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

26438400 is an equidigital number, since it uses as much as digits as its factorization.

26438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 27 counting only the distinct ones).

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

The square root of 26438400 is about 5141.8284685509. The cubic root of 26438400 is about 297.9054096735.

The spelling of 26438400 in words is "twenty-six million, four hundred thirty-eight thousand, four hundred".