226436400 has 180 divisors, whose sum is σ = 811545280. Its totient is φ = 58406400.

The previous prime is 226436393. The next prime is 226436401. The reversal of 226436400 is 4634622.

226436400 is a `hidden beast` number, since 226 + 4 + 36 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (226436401) 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, 110586 + ... + 112614.

Almost surely, 2^226436400 is an apocalyptic number.

226436400 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 226436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405772640).

226436400 is an abundant number, since it is smaller than the sum of its proper divisors (585108880).

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

226436400 is a wasteful number, since it uses less digits than its factorization.

226436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 226436400 is about 15047.8038264725. The cubic root of 226436400 is about 609.5117476144.

The spelling of 226436400 in words is "two hundred twenty-six million, four hundred thirty-six thousand, four hundred".