20480000 has 80 divisors (see below), whose sum is σ = 51182835. Its totient is φ = 8192000.

The previous prime is 20479999. The next prime is 20480011. The reversal of 20480000 is 8402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 4734976 + 15745024 = 2176^2 + 3968^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 4095998 + ... + 4096002.

Almost surely, 2^20480000 is an apocalyptic number.

20480000 is a gapful number since it is divisible by the number (20) 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 20480000

20480000 is an abundant number, since it is smaller than the sum of its proper divisors (30702835).

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

20480000 is an frugal number, since it uses more digits than its factorization.

20480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 20480000 is about 4525.4833995939. The cubic root of 20480000 is about 273.5961514683.

Adding to 20480000 its reverse (8402), we get a palindrome (20488402).

The spelling of 20480000 in words is "twenty million, four hundred eighty thousand".