1020450016 has 48 divisors (see below), whose sum is σ = 2106615168. Its totient is φ = 485654400.

The previous prime is 1020449987. The next prime is 1020450019. The reversal of 1020450016 is 6100540201.

1020450016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1020449975 and 1020450002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020450019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152011 + ... + 158581.

It is an arithmetic number, because the mean of its divisors is an integer number (43887816).

Almost surely, 2^1020450016 is an apocalyptic number.

1020450016 is a gapful number since it is divisible by the number (16) 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 1020450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053307584).

1020450016 is an abundant number, since it is smaller than the sum of its proper divisors (1086165152).

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

1020450016 is a wasteful number, since it uses less digits than its factorization.

1020450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6815 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1020450016 is about 31944.4833421985. The cubic root of 1020450016 is about 1006.7707258092.

Adding to 1020450016 its reverse (6100540201), we get a palindrome (7120990217).

The spelling of 1020450016 in words is "one billion, twenty million, four hundred fifty thousand, sixteen".