220261448 has 64 divisors (see below), whose sum is σ = 468357120. Its totient is φ = 96206400.

The previous prime is 220261441. The next prime is 220261463. The reversal of 220261448 is 844162022.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 220261448.

It is not an unprimeable number, because it can be changed into a prime (220261441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717311 + ... + 717617.

It is an arithmetic number, because the mean of its divisors is an integer number (7318080).

Almost surely, 2^220261448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220261448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234178560).

220261448 is an abundant number, since it is smaller than the sum of its proper divisors (248095672).

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

220261448 is a wasteful number, since it uses less digits than its factorization.

220261448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 220261448 is about 14841.2077675639. The cubic root of 220261448 is about 603.9201172076.

The spelling of 220261448 in words is "two hundred twenty million, two hundred sixty-one thousand, four hundred forty-eight".