226402400 has 72 divisors (see below), whose sum is σ = 631678320. Its totient is φ = 77621760.

The previous prime is 226402399. The next prime is 226402417. The reversal of 226402400 is 4204622.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14615 + ... + 25814.

It is an arithmetic number, because the mean of its divisors is an integer number (8773310).

Almost surely, 2^226402400 is an apocalyptic number.

226402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226402400 is an abundant number, since it is smaller than the sum of its proper divisors (405275920).

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

226402400 is a wasteful number, since it uses less digits than its factorization.

226402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40456 (or 40443 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 226402400 is about 15046.6740510985. The cubic root of 226402400 is about 609.4812395089.

The spelling of 226402400 in words is "two hundred twenty-six million, four hundred two thousand, four hundred".