984097408 has 64 divisors (see below), whose sum is σ = 2249075520. Its totient is φ = 420157440.

The previous prime is 984097379. The next prime is 984097423. The reversal of 984097408 is 804790489.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251628 + ... + 255508.

It is an arithmetic number, because the mean of its divisors is an integer number (35141805).

Almost surely, 2^984097408 is an apocalyptic number.

984097408 is the 18112-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124537760).

984097408 is an abundant number, since it is smaller than the sum of its proper divisors (1264978112).

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

984097408 is a wasteful number, since it uses less digits than its factorization.

984097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 984097408 is about 31370.3268711054. The cubic root of 984097408 is about 994.6707859282.

The spelling of 984097408 in words is "nine hundred eighty-four million, ninety-seven thousand, four hundred eight".