824229000 has 512 divisors, whose sum is σ = 3369600000. Its totient is φ = 186278400.

The previous prime is 824228963. The next prime is 824229013. The reversal of 824229000 is 922428.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9260956 + ... + 9261044.

It is an arithmetic number, because the mean of its divisors is an integer number (6581250).

Almost surely, 2^824229000 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 824229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684800000).

824229000 is an abundant number, since it is smaller than the sum of its proper divisors (2545371000).

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

824229000 is a wasteful number, since it uses less digits than its factorization.

824229000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 824229000 is about 28709.3887082257. The cubic root of 824229000 is about 937.5964700728.

The spelling of 824229000 in words is "eight hundred twenty-four million, two hundred twenty-nine thousand".