224466278400 has 1728 divisors, whose sum is σ = 1018054215360. Its totient is φ = 46006272000.

The previous prime is 224466278353. The next prime is 224466278411. The reversal of 224466278400 is 4872664422.

It is a super-2 number, since 2×224466278400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2222438350 + ... + 2222438450.

It is an arithmetic number, because the mean of its divisors is an integer number (589151745).

Almost surely, 2^224466278400 is an apocalyptic number.

224466278400 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 224466278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509027107680).

224466278400 is an abundant number, since it is smaller than the sum of its proper divisors (793587936960).

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

224466278400 is a wasteful number, since it uses less digits than its factorization.

224466278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 224466278400 in words is "two hundred twenty-four billion, four hundred sixty-six million, two hundred seventy-eight thousand, four hundred".