981393408 has 336 divisors, whose sum is σ = 3220242480. Its totient is φ = 297271296.

The previous prime is 981393401. The next prime is 981393409. The reversal of 981393408 is 804393189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981393401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33841138 + ... + 33841166.

It is an arithmetic number, because the mean of its divisors is an integer number (9584055).

Almost surely, 2^981393408 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 981393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610121240).

981393408 is an abundant number, since it is smaller than the sum of its proper divisors (2238849072).

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

981393408 is an equidigital number, since it uses as much as digits as its factorization.

981393408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 981393408 is about 31327.1991726040. The cubic root of 981393408 is about 993.7589327784.

The spelling of 981393408 in words is "nine hundred eighty-one million, three hundred ninety-three thousand, four hundred eight".