981385380 has 144 divisors (see below), whose sum is σ = 3058159104. Its totient is φ = 254626560.

The previous prime is 981385369. The next prime is 981385393. The reversal of 981385380 is 83583189.

981385380 is a `hidden beast` number, since 9 + 81 + 38 + 538 + 0 = 666.

981385380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2630874 + ... + 2631246.

It is an arithmetic number, because the mean of its divisors is an integer number (21237216).

Almost surely, 2^981385380 is an apocalyptic number.

981385380 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 981385380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529079552).

981385380 is an abundant number, since it is smaller than the sum of its proper divisors (2076773724).

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

981385380 is a wasteful number, since it uses less digits than its factorization.

981385380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 981385380 is about 31327.0710408745. The cubic root of 981385380 is about 993.7562230535.

The spelling of 981385380 in words is "nine hundred eighty-one million, three hundred eighty-five thousand, three hundred eighty".