981439200 has 288 divisors, whose sum is σ = 4057240320. Its totient is φ = 224294400.

The previous prime is 981439169. The next prime is 981439201. The reversal of 981439200 is 2934189.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981439201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147955 + ... + 154445.

It is an arithmetic number, because the mean of its divisors is an integer number (14087640).

Almost surely, 2^981439200 is an apocalyptic number.

981439200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028620160).

981439200 is an abundant number, since it is smaller than the sum of its proper divisors (3075801120).

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

981439200 is a wasteful number, since it uses less digits than its factorization.

981439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 981439200 is about 31327.9300305654. The cubic root of 981439200 is about 993.7743888639.

The spelling of 981439200 in words is "nine hundred eighty-one million, four hundred thirty-nine thousand, two hundred".