1006420480 has 80 divisors (see below), whose sum is σ = 2598755544. Its totient is φ = 371589120.

The previous prime is 1006420439. The next prime is 1006420501. The reversal of 1006420480 is 840246001.

It can be written as a sum of positive squares in 4 ways, for example, as 437311744 + 569108736 = 20912^2 + 23856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18160 + ... + 48400.

Almost surely, 2^1006420480 is an apocalyptic number.

1006420480 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 1006420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299377772).

1006420480 is an abundant number, since it is smaller than the sum of its proper divisors (1592335064).

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

1006420480 is an equidigital number, since it uses as much as digits as its factorization.

1006420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30277 (or 30261 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1006420480 is about 31724.1308785599. The cubic root of 1006420480 is about 1002.1355959831.

Adding to 1006420480 its reverse (840246001), we get a palindrome (1846666481).

The spelling of 1006420480 in words is "one billion, six million, four hundred twenty thousand, four hundred eighty".