224863038400 has 1008 divisors, whose sum is σ = 781761964032. Its totient is φ = 62512128000.

The previous prime is 224863038331. The next prime is 224863038529. The reversal of 224863038400 is 4830368422.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 347546877 + ... + 347547523.

It is an arithmetic number, because the mean of its divisors is an integer number (775557504).

Almost surely, 2^224863038400 is an apocalyptic number.

224863038400 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 224863038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390880982016).

224863038400 is an abundant number, since it is smaller than the sum of its proper divisors (556898925632).

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

224863038400 is a wasteful number, since it uses less digits than its factorization.

224863038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 224863038400 in words is "two hundred twenty-four billion, eight hundred sixty-three million, thirty-eight thousand, four hundred".