1020424020 has 288 divisors, whose sum is σ = 3667991040. Its totient is φ = 209583360.

The previous prime is 1020424007. The next prime is 1020424021. The reversal of 1020424020 is 204240201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020424021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4495147 + ... + 4495373.

It is an arithmetic number, because the mean of its divisors is an integer number (12736080).

Almost surely, 2^1020424020 is an apocalyptic number.

1020424020 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 1020424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833995520).

1020424020 is an abundant number, since it is smaller than the sum of its proper divisors (2647567020).

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

1020424020 is a wasteful number, since it uses less digits than its factorization.

1020424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1020424020 is about 31944.0764461895. The cubic root of 1020424020 is about 1006.7621765634.

Adding to 1020424020 its reverse (204240201), we get a palindrome (1224664221).

The spelling of 1020424020 in words is "one billion, twenty million, four hundred twenty-four thousand, twenty".