984413976 has 128 divisors (see below), whose sum is σ = 3038515200. Its totient is φ = 258808320.

The previous prime is 984413953. The next prime is 984413981. The reversal of 984413976 is 679314489.

It is a super-2 number, since 2×984413976² = 1938141752288257152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1045666 + ... + 1046606.

It is an arithmetic number, because the mean of its divisors is an integer number (23738400).

Almost surely, 2^984413976 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 984413976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519257600).

984413976 is an abundant number, since it is smaller than the sum of its proper divisors (2054101224).

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

984413976 is a wasteful number, since it uses less digits than its factorization.

984413976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1445 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 984413976 is about 31375.3721252832. The cubic root of 984413976 is about 994.7774309211. Note that the first 3 decimals are identical.

The spelling of 984413976 in words is "nine hundred eighty-four million, four hundred thirteen thousand, nine hundred seventy-six".