8466881400 has 240 divisors, whose sum is σ = 29558030040. Its totient is φ = 2246227200.

The previous prime is 8466881369. The next prime is 8466881407. The reversal of 8466881400 is 41886648.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8466881407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3416962 + ... + 3419438.

Almost surely, 2^8466881400 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 8466881400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14779015020).

8466881400 is an abundant number, since it is smaller than the sum of its proper divisors (21091148640).

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

8466881400 is a wasteful number, since it uses less digits than its factorization.

8466881400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8466881400 is about 92015.6584500703. The cubic root of 8466881400 is about 2038.1735382226.

The spelling of 8466881400 in words is "eight billion, four hundred sixty-six million, eight hundred eighty-one thousand, four hundred".