226401408 has 96 divisors (see below), whose sum is σ = 662734800. Its totient is φ = 74165760.

The previous prime is 226401391. The next prime is 226401431. The reversal of 226401408 is 804104622.

226401408 is a `hidden beast` number, since 2 + 2 + 640 + 14 + 0 + 8 = 666.

226401408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66303 + ... + 69633.

Almost surely, 2^226401408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331367400).

226401408 is an abundant number, since it is smaller than the sum of its proper divisors (436333392).

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

226401408 is a wasteful number, since it uses less digits than its factorization.

226401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 226401408 is about 15046.6410869669. The cubic root of 226401408 is about 609.4803493442.

The spelling of 226401408 in words is "two hundred twenty-six million, four hundred one thousand, four hundred eight".