1020443424 has 576 divisors, whose sum is σ = 3851390592. Its totient is φ = 232243200.

The previous prime is 1020443423. The next prime is 1020443443. The reversal of 1020443424 is 4243440201.

It is a happy number.

1020443424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1020443394 and 1020443403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020443423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24888844 + ... + 24888884.

It is an arithmetic number, because the mean of its divisors is an integer number (6686442).

Almost surely, 2^1020443424 is an apocalyptic number.

1020443424 is a gapful number since it is divisible by the number (14) 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 1020443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925695296).

1020443424 is an abundant number, since it is smaller than the sum of its proper divisors (2830947168).

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

1020443424 is a wasteful number, since it uses less digits than its factorization.

1020443424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1020443424 is about 31944.3801630271. The cubic root of 1020443424 is about 1006.7685579268.

Adding to 1020443424 its reverse (4243440201), we get a palindrome (5263883625).

It can be divided in two parts, 10204 and 43424, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 1020443424 in words is "one billion, twenty million, four hundred forty-three thousand, four hundred twenty-four".