20468448 has 288 divisors, whose sum is σ = 79252992. Its totient is φ = 4838400.

The previous prime is 20468447. The next prime is 20468449. The reversal of 20468448 is 84486402.

20468448 is a `hidden beast` number, since 204 + 6 + 8 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (20468447) and next prime (20468449).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20468447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288253 + ... + 288323.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^20468448 is an apocalyptic number.

20468448 is a gapful number since it is divisible by the number (28) 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 20468448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

20468448 is an abundant number, since it is smaller than the sum of its proper divisors (58784544).

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

20468448 is a wasteful number, since it uses less digits than its factorization.

20468448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 20468448 is about 4524.2068918209. The cubic root of 20468448 is about 273.5447000167.

The spelling of 20468448 in words is "twenty million, four hundred sixty-eight thousand, four hundred forty-eight".