824411920 has 20 divisors (see below), whose sum is σ = 1916757900. Its totient is φ = 329764736.

The previous prime is 824411899. The next prime is 824411921. The reversal of 824411920 is 29114428.

It can be written as a sum of positive squares in 2 ways, for example, as 620607744 + 203804176 = 24912^2 + 14276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (824411921) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5152495 + ... + 5152654.

It is an arithmetic number, because the mean of its divisors is an integer number (95837895).

Almost surely, 2^824411920 is an apocalyptic number.

824411920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

824411920 is an abundant number, since it is smaller than the sum of its proper divisors (1092345980).

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

824411920 is a wasteful number, since it uses less digits than its factorization.

824411920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305162 (or 10305156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 824411920 is about 28712.5742489245. The cubic root of 824411920 is about 937.6658247709.

It can be divided in two parts, 8244 and 11920, that added together give a square (20164 = 142²).

The spelling of 824411920 in words is "eight hundred twenty-four million, four hundred eleven thousand, nine hundred twenty".