226626400 has 288 divisors, whose sum is σ = 745452288. Its totient is φ = 64972800.

The previous prime is 226626397. The next prime is 226626401. The reversal of 226626400 is 4626622.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226626401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800659 + ... + 800941.

It is an arithmetic number, because the mean of its divisors is an integer number (2588376).

Almost surely, 2^226626400 is an apocalyptic number.

226626400 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 226626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372726144).

226626400 is an abundant number, since it is smaller than the sum of its proper divisors (518825888).

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

226626400 is a wasteful number, since it uses less digits than its factorization.

226626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 226626400 is about 15054.1157163083. The cubic root of 226626400 is about 609.6821778932.

It can be divided in two parts, 226 and 626400, that added together give a palindrome (626626).

The spelling of 226626400 in words is "two hundred twenty-six million, six hundred twenty-six thousand, four hundred".