226406400 has 312 divisors, whose sum is σ = 828798144. Its totient is φ = 54067200.

The previous prime is 226406399. The next prime is 226406417. The reversal of 226406400 is 4604622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3379167 + ... + 3379233.

Almost surely, 2^226406400 is an apocalyptic number.

226406400 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 226406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414399072).

226406400 is an abundant number, since it is smaller than the sum of its proper divisors (602391744).

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

226406400 is a wasteful number, since it uses less digits than its factorization.

226406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 226406400 is about 15046.8069702512. The cubic root of 226406400 is about 609.4848288563.

The spelling of 226406400 in words is "two hundred twenty-six million, four hundred six thousand, four hundred".