981446800 has 120 divisors (see below), whose sum is σ = 2485930176. Its totient is φ = 371627520.

The previous prime is 981446779. The next prime is 981446801. The reversal of 981446800 is 8644189.

It is a super-3 number, since 3×981446800³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (981446801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983902 + ... + 984898.

Almost surely, 2^981446800 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 981446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242965088).

981446800 is an abundant number, since it is smaller than the sum of its proper divisors (1504483376).

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

981446800 is a wasteful number, since it uses less digits than its factorization.

981446800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 981446800 is about 31328.0513278435. The cubic root of 981446800 is about 993.7769540307.

The spelling of 981446800 in words is "nine hundred eighty-one million, four hundred forty-six thousand, eight hundred".