20480800 has 36 divisors (see below), whose sum is σ = 50000706. Its totient is φ = 8192000.

The previous prime is 20480797. The next prime is 20480809. The reversal of 20480800 is 808402.

It can be written as a sum of positive squares in 3 ways, for example, as 20034576 + 446224 = 4476^2 + 668^2 .

It is not an unprimeable number, because it can be changed into a prime (20480809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12001 + ... + 13600.

Almost surely, 2^20480800 is an apocalyptic number.

20480800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20480800 is an abundant number, since it is smaller than the sum of its proper divisors (29519906).

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

20480800 is a wasteful number, since it uses less digits than its factorization.

20480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25621 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 20480800 is about 4525.5717870784. The cubic root of 20480800 is about 273.5997138718.

The spelling of 20480800 in words is "twenty million, four hundred eighty thousand, eight hundred".