1020414408 has 128 divisors (see below), whose sum is σ = 2808449280. Its totient is φ = 307077120.

The previous prime is 1020414403. The next prime is 1020414427. The reversal of 1020414408 is 8044140201.

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

It is not an unprimeable number, because it can be changed into a prime (1020414401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3631228 + ... + 3631508.

It is an arithmetic number, because the mean of its divisors is an integer number (21941010).

Almost surely, 2^1020414408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020414408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404224640).

1020414408 is an abundant number, since it is smaller than the sum of its proper divisors (1788034872).

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

1020414408 is a wasteful number, since it uses less digits than its factorization.

1020414408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 1020414408 is about 31943.9259954064. The cubic root of 1020414408 is about 1006.7590154499.

Adding to 1020414408 its reverse (8044140201), we get a palindrome (9064554609).

The spelling of 1020414408 in words is "one billion, twenty million, four hundred fourteen thousand, four hundred eight".