981874400 has 144 divisors (see below), whose sum is σ = 2717794800. Its totient is φ = 343388160.

The previous prime is 981874391. The next prime is 981874403. The reversal of 981874400 is 4478189.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981874403) 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, 195116 + ... + 200084.

It is an arithmetic number, because the mean of its divisors is an integer number (18873575).

Almost surely, 2^981874400 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 981874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358897400).

981874400 is an abundant number, since it is smaller than the sum of its proper divisors (1735920400).

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

981874400 is a wasteful number, since it uses less digits than its factorization.

981874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 981874400 is about 31334.8751393715. The cubic root of 981874400 is about 993.9212570901.

The spelling of 981874400 in words is "nine hundred eighty-one million, eight hundred seventy-four thousand, four hundred".