26470400 has 144 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 9420800.

The previous prime is 26470393. The next prime is 26470403. The reversal of 26470400 is 407462.

It is not an unprimeable number, because it can be changed into a prime (26470403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563177 + ... + 563223.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^26470400 is an apocalyptic number.

26470400 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 26470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

26470400 is an abundant number, since it is smaller than the sum of its proper divisors (46649920).

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

26470400 is a wasteful number, since it uses less digits than its factorization.

26470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 26470400 is about 5144.9392610603. The cubic root of 26470400 is about 298.0255522134.

Adding to 26470400 its reverse (407462), we get a palindrome (26877862).

The spelling of 26470400 in words is "twenty-six million, four hundred seventy thousand, four hundred".