1020438720 has 336 divisors, whose sum is σ = 4097121600. Its totient is φ = 233017344.

The previous prime is 1020438697. The next prime is 1020438721. The reversal of 1020438720 is 278340201.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1020438721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987324 + ... + 988356.

Almost surely, 2^1020438720 is an apocalyptic number.

1020438720 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 1020438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048560800).

1020438720 is an abundant number, since it is smaller than the sum of its proper divisors (3076682880).

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

1020438720 is a wasteful number, since it uses less digits than its factorization.

1020438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1020438720 is about 31944.3065349680. The cubic root of 1020438720 is about 1006.7670109370.

Adding to 1020438720 its reverse (278340201), we get a palindrome (1298778921).

The spelling of 1020438720 in words is "one billion, twenty million, four hundred thirty-eight thousand, seven hundred twenty".