20448480 has 192 divisors, whose sum is σ = 72394560. Its totient is φ = 4816896.

The previous prime is 20448469. The next prime is 20448511. The reversal of 20448480 is 8484402.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180904 + ... + 181016.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^20448480 is an apocalyptic number.

20448480 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 20448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

20448480 is an abundant number, since it is smaller than the sum of its proper divisors (51946080).

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

20448480 is a wasteful number, since it uses less digits than its factorization.

20448480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 20448480 is about 4521.9995577178. Note that the first 3 decimals coincide. The cubic root of 20448480 is about 273.4557188731.

It can be divided in two parts, 204 and 48480, that added together give a palindrome (48684).

The spelling of 20448480 in words is "twenty million, four hundred forty-eight thousand, four hundred eighty".