446778882 has 128 divisors (see below), whose sum is σ = 1177804800. Its totient is φ = 124027200.

The previous prime is 446778881. The next prime is 446778883. The reversal of 446778882 is 288877644.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (446778881) and next prime (446778883).

It is a super-3 number, since 3×446778882³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (446778881) 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 63 ways as a sum of consecutive naturals, for example, 349228 + ... + 350504.

It is an arithmetic number, because the mean of its divisors is an integer number (9201600).

Almost surely, 2^446778882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446778882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588902400).

446778882 is an abundant number, since it is smaller than the sum of its proper divisors (731025918).

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

446778882 is a wasteful number, since it uses less digits than its factorization.

446778882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 446778882 is about 21137.1446037538. The cubic root of 446778882 is about 764.4766277930.

The spelling of 446778882 in words is "four hundred forty-six million, seven hundred seventy-eight thousand, eight hundred eighty-two".