981584480 has 72 divisors (see below), whose sum is σ = 2351108592. Its totient is φ = 387269376.

The previous prime is 981584467. The next prime is 981584531. The reversal of 981584480 is 84485189.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 998069 + ... + 999051.

It is an arithmetic number, because the mean of its divisors is an integer number (32654286).

Almost surely, 2^981584480 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 981584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175554296).

981584480 is an abundant number, since it is smaller than the sum of its proper divisors (1369524112).

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

981584480 is an equidigital number, since it uses as much as digits as its factorization.

981584480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 47.

The square root of 981584480 is about 31330.2486424861. The cubic root of 981584480 is about 993.8234217603.

The spelling of 981584480 in words is "nine hundred eighty-one million, five hundred eighty-four thousand, four hundred eighty".