979900416 has 288 divisors, whose sum is σ = 3219652800. Its totient is φ = 295280640.

The previous prime is 979900403. The next prime is 979900423. The reversal of 979900416 is 614009979.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5474215 + ... + 5474393.

It is an arithmetic number, because the mean of its divisors is an integer number (11179350).

Almost surely, 2^979900416 is an apocalyptic number.

979900416 is a gapful number since it is divisible by the number (96) 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 979900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609826400).

979900416 is an abundant number, since it is smaller than the sum of its proper divisors (2239752384).

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

979900416 is a wasteful number, since it uses less digits than its factorization.

979900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 979900416 is about 31303.3610974924. The cubic root of 979900416 is about 993.2547424672.

The spelling of 979900416 in words is "nine hundred seventy-nine million, nine hundred thousand, four hundred sixteen".