1024434020 has 48 divisors (see below), whose sum is σ = 2298394560. Its totient is φ = 382402944.

The previous prime is 1024434013. The next prime is 1024434023. The reversal of 1024434020 is 204344201.

It is a super-2 number, since 2×1024434020² = 2098930122666720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1024433983 and 1024434001.

It is not an unprimeable number, because it can be changed into a prime (1024434023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5342 + ... + 45578.

It is an arithmetic number, because the mean of its divisors is an integer number (47883220).

Almost surely, 2^1024434020 is an apocalyptic number.

1024434020 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 1024434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149197280).

1024434020 is an abundant number, since it is smaller than the sum of its proper divisors (1273960540).

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

1024434020 is a wasteful number, since it uses less digits than its factorization.

1024434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40332 (or 40330 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1024434020 is about 32006.7808440649. The cubic root of 1024434020 is about 1008.0792236905.

Adding to 1024434020 its reverse (204344201), we get a palindrome (1228778221).

The spelling of 1024434020 in words is "one billion, twenty-four million, four hundred thirty-four thousand, twenty".