823044420 has 432 divisors, whose sum is σ = 3011613696. Its totient is φ = 181209600.

The previous prime is 823044407. The next prime is 823044421. The reversal of 823044420 is 24440328.

It is a happy number.

823044420 is a `hidden beast` number, since 8 + 230 + 4 + 4 + 420 = 666.

It is not an unprimeable number, because it can be changed into a prime (823044421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15529114 + ... + 15529166.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^823044420 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 823044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505806848).

823044420 is an abundant number, since it is smaller than the sum of its proper divisors (2188569276).

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

823044420 is a wasteful number, since it uses less digits than its factorization.

823044420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 823044420 is about 28688.7507570476. The cubic root of 823044420 is about 937.1470842305.

Adding to 823044420 its reverse (24440328), we get a palindrome (847484748).

It can be divided in two parts, 8230 and 44420, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 823044420 in words is "eight hundred twenty-three million, forty-four thousand, four hundred twenty".