226450932400 has 480 divisors, whose sum is σ = 696237580800. Its totient is φ = 70164864000.

The previous prime is 226450932373. The next prime is 226450932403. The reversal of 226450932400 is 4239054622.

It is a self number, because there is not a number n which added to its sum of digits gives 226450932400.

It is not an unprimeable number, because it can be changed into a prime (226450932403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342588070 + ... + 342588730.

It is an arithmetic number, because the mean of its divisors is an integer number (1450494960).

Almost surely, 2^226450932400 is an apocalyptic number.

226450932400 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 226450932400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348118790400).

226450932400 is an abundant number, since it is smaller than the sum of its proper divisors (469786648400).

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

226450932400 is a wasteful number, since it uses less digits than its factorization.

226450932400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 226450932400 in words is "two hundred twenty-six billion, four hundred fifty million, nine hundred thirty-two thousand, four hundred".