1024442320 has 80 divisors (see below), whose sum is σ = 2658883392. Its totient is φ = 363847680.

The previous prime is 1024442303. The next prime is 1024442327. The reversal of 1024442320 is 232444201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1024442291 and 1024442300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024442327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24304 + ... + 51376.

Almost surely, 2^1024442320 is an apocalyptic number.

1024442320 is a gapful number since it is divisible by the number (10) 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 1024442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329441696).

1024442320 is an abundant number, since it is smaller than the sum of its proper divisors (1634441072).

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

1024442320 is a wasteful number, since it uses less digits than its factorization.

1024442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27140 (or 27134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1024442320 is about 32006.9105038271. The cubic root of 1024442320 is about 1008.0819461808.

Adding to 1024442320 its reverse (232444201), we get a palindrome (1256886521).

It can be divided in two parts, 1024 and 442320, that added together give a palindrome (443344).

The spelling of 1024442320 in words is "one billion, twenty-four million, four hundred forty-two thousand, three hundred twenty".